A note on exceptional groups and Reidemeister torsion
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Date
2018
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Publisher
Amer Inst Physics
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
Let Sigma be a closed orientable surface of genus at least 2 and G be one of the exceptional groups G(2), F-4, and E-6. The present article considers the set Rep(Sigma, G) of G-valued representations from the fundamental group pi(1)(Sigma) of the surface Sigma to the exceptional group G. It proves that for such representations the notion of Reidemeister torsion is well-defined. It also establishes a formula for computing Reidemeister torsion of such representations in terms of the well-known symplectic structure on Rep(Sigma, G), namely, the Atiyah-Bott-Goldman symplectic form for the Lie group G. Moreover, it applies to G-valued Hitchin representations. Published by AIP Publishing.
Description
HEZENCI, fatih/0000-0003-1008-5856
WOS: 000443724800018
WOS: 000443724800018
Keywords
Journal or Series
Journal Of Mathematical Physics
WoS Q Value
Q2
Scopus Q Value
Q2
Volume
59
Issue
8
