Witten-Reshetikhin-Turaev invariants, homological blocks, and quantum modular forms for unimodular plumbing H-graphs

DOI10.3842/SIGMA.2022.034zbMath1504.57031arXiv2110.10958OpenAlexW4229032079MaRDI QIDQ2671630

Yuya Murakami, Akihito Mori

Publication date: 3 June 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.10958

zbMATH Keywords

Gauss sumsquantum invariantsquantum modular formsWitten-Reshetikhin-Turaev invariantsfalse theta functionshomological blocksplumbed manifolds

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (2)

Non-semisimple TQFT's and BPS \(q\)-series ⋮ Modular transformations of homological blocks for Seifert fibered homology 3-spheres

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