English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Twisted spectral correspondence and torus knots

MPS-Authors
/persons/resource/persons235877

Nawata,  Satoshi
Max Planck Institute for Mathematics, Max Planck Society;

External Ressource
Fulltext (public)

arXiv:1804.08364.pdf
(Preprint), 576KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/21.11116/0000-0006-982F-B
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.