Quantization of Teichmüller Spaces and the Quantum Dilogarithm View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1998-01

AUTHORS

R. M. Kashaev

ABSTRACT

The Teichmüller space of punctured surfaces with the Weil–Petersson symplectic structure and the action of the mapping class group is realized as the Hamiltonian reduction of a finite-dimensional symplectic space where the mapping class group acts by symplectic rational transformations. Upon quantization, the corresponding (projective) representation of the mapping class group is generated by the quantum dilogarithms. More... »

PAGES

105-115

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1007460128279

DOI

http://dx.doi.org/10.1023/a:1007460128279

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1020216318


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0202", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Helsinki", 
          "id": "https://www.grid.ac/institutes/grid.7737.4", 
          "name": [
            "Helsinki Institute of Physics, University of Helsinki, Helsinki, Siltavuorenpenger 20 C), PO Box 9 (, FIN-00014, Finland, e-mail"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kashaev", 
        "givenName": "R. M.", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0550-3213(88)90143-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000125557"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0550-3213(88)90143-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000125557"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1007364912784", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008748156", 
          "https://doi.org/10.1023/a:1007364912784"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02099431", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025936092", 
          "https://doi.org/10.1007/bf02099431"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02099431", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025936092", 
          "https://doi.org/10.1007/bf02099431"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01872779", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028671073", 
          "https://doi.org/10.1007/bf01872779"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s002200050391", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032580248", 
          "https://doi.org/10.1007/s002200050391"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01217730", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033035951", 
          "https://doi.org/10.1007/bf01217730"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01217730", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033035951", 
          "https://doi.org/10.1007/bf01217730"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0550-3213(90)90510-k", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034155476"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0550-3213(90)90510-k", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034155476"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02101008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037345325", 
          "https://doi.org/10.1007/bf02101008"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02101008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037345325", 
          "https://doi.org/10.1007/bf02101008"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02101008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037345325", 
          "https://doi.org/10.1007/bf02101008"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01223515", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047039592", 
          "https://doi.org/10.1007/bf01223515"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01223515", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047039592", 
          "https://doi.org/10.1007/bf01223515"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0217732394000447", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062919390"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0217732394003610", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062919707"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0217732395001526", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062919886"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/9789812798411_0015", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1096096676"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1998-01", 
    "datePublishedReg": "1998-01-01", 
    "description": "The Teichm\u00fcller space of punctured surfaces with the Weil\u2013Petersson symplectic structure and the action of the mapping class group is realized as the Hamiltonian reduction of a finite-dimensional symplectic space where the mapping class group acts by symplectic rational transformations. Upon quantization, the corresponding (projective) representation of the mapping class group is generated by the quantum dilogarithms.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1023/a:1007460128279", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1327584", 
        "issn": [
          "0377-9017", 
          "1573-0530"
        ], 
        "name": "Letters in Mathematical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "43"
      }
    ], 
    "name": "Quantization of Teichm\u00fcller Spaces and the Quantum Dilogarithm", 
    "pagination": "105-115", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "6052c6882e1d98660e56e9dbb883cc278e5294a56e2d00078b9fb87616deb49a"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1023/a:1007460128279"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1020216318"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1023/a:1007460128279", 
      "https://app.dimensions.ai/details/publication/pub.1020216318"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T18:25", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8675_00000536.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1023%2FA%3A1007460128279"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1023/a:1007460128279'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1023/a:1007460128279'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1023/a:1007460128279'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1023/a:1007460128279'


 

This table displays all metadata directly associated to this object as RDF triples.

106 TRIPLES      21 PREDICATES      40 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1023/a:1007460128279 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author N9b7f3870687f44728d5912820edb24a4
4 schema:citation sg:pub.10.1007/bf01217730
5 sg:pub.10.1007/bf01223515
6 sg:pub.10.1007/bf01872779
7 sg:pub.10.1007/bf02099431
8 sg:pub.10.1007/bf02101008
9 sg:pub.10.1007/s002200050391
10 sg:pub.10.1023/a:1007364912784
11 https://doi.org/10.1016/0550-3213(88)90143-5
12 https://doi.org/10.1016/0550-3213(90)90510-k
13 https://doi.org/10.1142/9789812798411_0015
14 https://doi.org/10.1142/s0217732394000447
15 https://doi.org/10.1142/s0217732394003610
16 https://doi.org/10.1142/s0217732395001526
17 schema:datePublished 1998-01
18 schema:datePublishedReg 1998-01-01
19 schema:description The Teichmüller space of punctured surfaces with the Weil–Petersson symplectic structure and the action of the mapping class group is realized as the Hamiltonian reduction of a finite-dimensional symplectic space where the mapping class group acts by symplectic rational transformations. Upon quantization, the corresponding (projective) representation of the mapping class group is generated by the quantum dilogarithms.
20 schema:genre research_article
21 schema:inLanguage en
22 schema:isAccessibleForFree false
23 schema:isPartOf N7319c2864d554f3bbf9955d0b75eaf3f
24 Nc8fc801aca2e474ba1b7306e67d2be86
25 sg:journal.1327584
26 schema:name Quantization of Teichmüller Spaces and the Quantum Dilogarithm
27 schema:pagination 105-115
28 schema:productId N4984d3a7dbab4779a09c1f55df9909ea
29 N8f9d72bcdc614af8b0ec693d6a8f2030
30 Nfe64b39ddf82426abb63e758867a7779
31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020216318
32 https://doi.org/10.1023/a:1007460128279
33 schema:sdDatePublished 2019-04-10T18:25
34 schema:sdLicense https://scigraph.springernature.com/explorer/license/
35 schema:sdPublisher N013c7f6c8c7b4d71b276f22bda207a3d
36 schema:url http://link.springer.com/10.1023%2FA%3A1007460128279
37 sgo:license sg:explorer/license/
38 sgo:sdDataset articles
39 rdf:type schema:ScholarlyArticle
40 N013c7f6c8c7b4d71b276f22bda207a3d schema:name Springer Nature - SN SciGraph project
41 rdf:type schema:Organization
42 N4984d3a7dbab4779a09c1f55df9909ea schema:name readcube_id
43 schema:value 6052c6882e1d98660e56e9dbb883cc278e5294a56e2d00078b9fb87616deb49a
44 rdf:type schema:PropertyValue
45 N7319c2864d554f3bbf9955d0b75eaf3f schema:volumeNumber 43
46 rdf:type schema:PublicationVolume
47 N8f9d72bcdc614af8b0ec693d6a8f2030 schema:name doi
48 schema:value 10.1023/a:1007460128279
49 rdf:type schema:PropertyValue
50 N9b7f3870687f44728d5912820edb24a4 rdf:first Nfc10dbd31a304c3ea8b610d67d1a06ff
51 rdf:rest rdf:nil
52 Nc8fc801aca2e474ba1b7306e67d2be86 schema:issueNumber 2
53 rdf:type schema:PublicationIssue
54 Nfc10dbd31a304c3ea8b610d67d1a06ff schema:affiliation https://www.grid.ac/institutes/grid.7737.4
55 schema:familyName Kashaev
56 schema:givenName R. M.
57 rdf:type schema:Person
58 Nfe64b39ddf82426abb63e758867a7779 schema:name dimensions_id
59 schema:value pub.1020216318
60 rdf:type schema:PropertyValue
61 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
62 schema:name Physical Sciences
63 rdf:type schema:DefinedTerm
64 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
65 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
66 rdf:type schema:DefinedTerm
67 sg:journal.1327584 schema:issn 0377-9017
68 1573-0530
69 schema:name Letters in Mathematical Physics
70 rdf:type schema:Periodical
71 sg:pub.10.1007/bf01217730 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033035951
72 https://doi.org/10.1007/bf01217730
73 rdf:type schema:CreativeWork
74 sg:pub.10.1007/bf01223515 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047039592
75 https://doi.org/10.1007/bf01223515
76 rdf:type schema:CreativeWork
77 sg:pub.10.1007/bf01872779 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028671073
78 https://doi.org/10.1007/bf01872779
79 rdf:type schema:CreativeWork
80 sg:pub.10.1007/bf02099431 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025936092
81 https://doi.org/10.1007/bf02099431
82 rdf:type schema:CreativeWork
83 sg:pub.10.1007/bf02101008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037345325
84 https://doi.org/10.1007/bf02101008
85 rdf:type schema:CreativeWork
86 sg:pub.10.1007/s002200050391 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032580248
87 https://doi.org/10.1007/s002200050391
88 rdf:type schema:CreativeWork
89 sg:pub.10.1023/a:1007364912784 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008748156
90 https://doi.org/10.1023/a:1007364912784
91 rdf:type schema:CreativeWork
92 https://doi.org/10.1016/0550-3213(88)90143-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000125557
93 rdf:type schema:CreativeWork
94 https://doi.org/10.1016/0550-3213(90)90510-k schema:sameAs https://app.dimensions.ai/details/publication/pub.1034155476
95 rdf:type schema:CreativeWork
96 https://doi.org/10.1142/9789812798411_0015 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096096676
97 rdf:type schema:CreativeWork
98 https://doi.org/10.1142/s0217732394000447 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062919390
99 rdf:type schema:CreativeWork
100 https://doi.org/10.1142/s0217732394003610 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062919707
101 rdf:type schema:CreativeWork
102 https://doi.org/10.1142/s0217732395001526 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062919886
103 rdf:type schema:CreativeWork
104 https://www.grid.ac/institutes/grid.7737.4 schema:alternateName University of Helsinki
105 schema:name Helsinki Institute of Physics, University of Helsinki, Helsinki, Siltavuorenpenger 20 C), PO Box 9 (, FIN-00014, Finland, e-mail
106 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...