Twisted spectral correspondence and torus knots-Reference-Cited by-同舟云学术

Twisted spectral correspondence and torus knots

Published:2020-05 Issue:06 Volume:29 Page:2050040
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Chuang Wu-Yen¹,Diaconescu Duiliu-Emanuel²^ORCID,Donagi Ron³,Nawata Satoshi⁴,Pantev Tony³

Affiliation:

1. Department of Mathematics, National Taiwan University, No. 1 Section 4, Roosevelt Road, Taipei 10617, Taiwan

2. NHETC, Rutgers University, 126 Frelinghuysen Road, Piscataway, NJ 08854, USA

3. Department of Mathematics, University of Pennsylvania, David Rittenhouse Laboratory, 209 South 33rd Street, Philadelphia, PA 19104, USA

4. Department of Physics, Center for Field Theory and Particle Physics, Fudan University, 220 Handan Road, 200433 Shanghai, P. R. China

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 [Formula: see text] torus knots, providing a colored generalization of existing results of Hausel, Mereb and Wong as well as Shende, Treumann and Zaslow.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216520500406

Reference41 articles.

1. Knot Homology and Refined Chern–Simons Index

2. Vector Bundles Over an Elliptic Curve

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4. Quasi-Hamiltonian geometry of meromorphic connections

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