Abelian varieties and theta functions associated to compact Riemannian manifolds; constructions inspired by superstring theory
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
-
- Autoren
- S Mueller-Stach
- C Peters
- V Srinivas
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000310258300003&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1016/j.matpur.2012.05.002
- Externe Identifier
- Clarivate Analytics Document Solution ID: 026EX
- ISSN
- 0021-7824
- Ausgabe der Veröffentlichung
- 5
- Zeitschrift
- JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
- Schlüsselwörter
- Ramond-Ramond fields
- Spin manifold
- Dirac operator
- Polarized Hodge structure
- Generalized Weil Jacobian
- Paginierung
- 542 - 573
- Datum der Veröffentlichung
- 2012
- Status
- Published
- Titel
- Abelian varieties and theta functions associated to compact Riemannian manifolds; constructions inspired by superstring theory
- Sub types
- Article
- Ausgabe der Zeitschrift
- 98
Datenquelle: Web of Science (Lite)
- Andere Metadatenquellen:
-
- Autoren
- S Müller-Stach
- C Peters
- V Srinivas
- DOI
- 10.1016/j.matpur.2012.05.002
- ISSN
- 0021-7824
- Ausgabe der Veröffentlichung
- 5
- Zeitschrift
- Journal de Mathématiques Pures et Appliquées
- Sprache
- en
- Paginierung
- 542 - 573
- Datum der Veröffentlichung
- 2012
- Status
- Published
- Herausgeber
- Elsevier BV
- Herausgeber URL
- http://dx.doi.org/10.1016/j.matpur.2012.05.002
- Datum der Datenerfassung
- 2024
- Titel
- Abelian varieties and theta functions associated to compact Riemannian manifolds; constructions inspired by superstring theory
- Ausgabe der Zeitschrift
- 98
Datenquelle: Crossref
- Abstract
- We look into a construction of principal abelian varieties attached to certain spin manifolds, due to Witten and Moore-Witten around 2000 and try to place it in a broader framework. This is related to Weil intermediate Jacobians but it also suggests to associate abelian varieties to polarized even weight Hodge structures. The latter construction can also be explained in terms of algebraic groups which might be useful from the point of view of Tannakian categories. The constructions depend on moduli much as in Teichm\"uller theory although the period maps in general are only real analytic. One of the nice features is how the index for certain differential operators canonically associated to the geometry of the situation (spin structure, complex structure etc.) leads to integrality of skew pairings on the topological K-group (coming from the Index Theorem) which then serves as a polarization for the jacobian.
- Autoren
- Stefan Müller-Stach
- Chris Peters
- Vasudevan Srinivas
- Autoren-URL
- http://arxiv.org/abs/1105.4108v2
- Schlüsselwörter
- math.AG
- math.AG
- math-ph
- math.DG
- math.MP
- 14K10, 14C30, 19K56,
- Notes
- A few corrections, final version
- Datum der Veröffentlichung
- 2011
- Datum der Datenerfassung
- 2011
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2011
- Titel
- Abelian varieties and theta functions associated to compact Riemannian manifolds; constructions inspired by superstring theory
Files
1105.4108v2.pdf
Datenquelle: arXiv
- Beziehungen:
-