Universität zu Köln

Lobb, Andrew ORCID: 0000-0003-1874-852X and Zentner, Raphael (2014). The Quantum sl(N) Graph Invariant and a Moduli Space. Int. Math. Res. Notices, 2014 (7). S. 1956 - 1973. OXFORD: OXFORD UNIV PRESS. ISSN 1687-0247

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Abstract

We associate a moduli problem to a colored trivalent graph; such graphs, when planar, appear in the state-sum description of the quantum sl(N) knot polynomial due to Murakami, Ohtsuki, and Yamada. We discuss how the resulting moduli space can be thought of a representation variety. We show that the Euler characteristic of the moduli space is equal to the quantum sl(N) polynomial of the graph evaluated at unity. Possible extensions of the result are also indicated.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lobb, Andrew UNSPECIFIED orcid.org/0000-0003-1874-852X UNSPECIFIED Zentner, Raphael UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-452359
DOI:	10.1093/imrn/rns275
Journal or Publication Title:	Int. Math. Res. Notices
Volume:	2014
Number:	7
Page Range:	S. 1956 - 1973
Date:	2014
Publisher:	OXFORD UNIV PRESS
Place of Publication:	OXFORD
ISSN:	1687-0247
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language KNOT HOMOLOGY Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/45235