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  Twisted spectral correspondence and torus knots

Chuang, W.-y., Diaconescu, D.-E., Donagi, R., Nawata, S., & Pantev, T. (2020). Twisted spectral correspondence and torus knots. Journal of Knot Theory and Its Ramifications, 29 (6): 2050040. doi:10.1142/S0218216520500406.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-982F-B Version Permalink: https://hdl.handle.net/21.11116/0000-0006-C134-5
Genre: Journal Article

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 Creators:
Chuang, Wu-yen, Author
Diaconescu, Duiliu-Emanuel, Author
Donagi, Ron, Author
Nawata, Satoshi1, Author           
Pantev, Tony, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: High Energy Physics - Theory, Mathematics, Algebraic Geometry
 Abstract: Cohomological invariants of twisted wild character varieties as constructed
by Boalch and Yamakawa are derived from enumerative Calabi-Yau geometry and
refined Chern-Simons invariants of torus knots. Generalizing the untwisted
case, the present approach is based on a spectral correspondence for
meromorphic Higgs bundles with fixed conjugacy classes at the marked points.
This construction is carried out for twisted wild character varieties
associated to (l, kl-1) torus knots, providing a colored generalization of
existing results of Hausel, Mereb and Wong as well as Shende, Treumann and
Zaslow.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 65
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1804.08364
URI: http://arxiv.org/abs/1804.08364
DOI: 10.1142/S0218216520500406
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Title: Journal of Knot Theory and Its Ramifications
  Abbreviation : J. Knot Theory Ramifications
Source Genre: Journal
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Publ. Info: World Scientific
Pages: - Volume / Issue: 29 (6) Sequence Number: 2050040 Start / End Page: - Identifier: -