A meromorphic extension of the 3D index

DOI10.1007/s40687-018-0166-9zbMath1434.57020arXiv1706.08132OpenAlexW2963309689WikidataQ128844168 ScholiaQ128844168MaRDI QIDQ2319862

Stavros Garoufalidis, Rinat M. Kashaev

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08132

zbMATH Keywords

3-manifoldslocally compact abelian groupsmeromorphic functionsquantum dilogarithmideal triangulations3D indexstate integrals

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Triangulating (57R05)

Related Items (1)

Twisted Neumann-Zagier matrices

Uses Software

• SnapPy

Cites Work

• Unnamed Item
• A TQFT of Turaev-Viro type on shaped triangulations
• The 3D index of an ideal triangulation and angle structures
• Gauge theories labelled by three-manifolds
• 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold
• Volumes of hyperbolic three-manifolds
• Operator equalities related to the quantum \(E(2)\) group
• From state integrals to \(q\)-series
• The quantum content of the gluing equations
• Beta pentagon relations
• The 3D-index and normal surfaces
• A TQFT from quantum Teichmüller theory
• 3-manifolds and 3d indices
• The Yang–Baxter relation and gauge invariance
• The Dilogarithm Function
• Angle structures and normal surfaces

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