The Yang-Mills measure in the SU(3)-skein module

Charles Frohman; Jianyuan K Zhong

doi:10.1142/S0218216517500717

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The Yang-Mills measure in the SU(3)-skein module

Journal article

Peer reviewed

The Yang-Mills measure in the SU(3)-skein module

Charles Frohman and Jianyuan K Zhong

Journal of knot theory and its ramifications, Vol.26(11), p.1750071

10/01/2017

DOI: 10.1142/S0218216517500717

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https://arxiv.org/pdf/1706.02568View

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Abstract

Let A be a nonzero complex number which is not a root of unity. Let F be a compact oriented surface, the SU(3)-skein space of F, SA(F), is the vector space over C generated by framed oriented links (including framed oriented trivalent graphs in F xI) quotient by the SU(3)-skein relations due to Kuperberg [Spiders for rank 2 Lie algebra, Comm. Math. Phys. 180(1) (1996) 109-151]. For closed F, with genus greater than 1, we construct a local diffeomorphism invariant trace on SA(F) when A is a positive real number not equal to 1.

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Details

Title: Subtitle: The Yang-Mills measure in the SU(3)-skein module
Creators: Charles Frohman - University of Iowa
Jianyuan K Zhong - California State University, Sacramento
Resource Type: Journal article
Publication Details: Journal of knot theory and its ramifications, Vol.26(11), p.1750071
DOI: 10.1142/S0218216517500717
ISSN: 0218-2165
eISSN: 1793-6527
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
Number of pages: 24
Language: English
Date published: 10/01/2017
Academic Unit: Mathematics
Record Identifier: 9984241155502771

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