Twisted spectral correspondence and torus knots
High Energy Physics - Theory
2018-04-24 v1 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.
Keywords
Cite
@article{arxiv.1804.08364,
title = {Twisted spectral correspondence and torus knots},
author = {Wu-yen Chuang and Duiliu-Emanuel Diaconescu and Ron Donagi and Satoshi Nawata and Tony Pantev},
journal= {arXiv preprint arXiv:1804.08364},
year = {2018}
}
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73 pages