St. Petersburg Mathematical Society

Author(s): O. Viro
Translated by: the author
Original publication: Algebra i Analiz, tom 18 (2006), nomer 3.
Journal: St. Petersburg Math. J. 18 (2007), 391-457.
MSC (2000): Primary 05C99, 81R99, 57M25
Posted: April 11, 2007
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Abstract: The multivariable Conway function is generalized to oriented framed trivalent graphs equipped with additional structure (coloring). This is done via refinements of Reshetikhin-Turaev functors based on irreducible representations of quantized $\operatorname{gl}(1\vert 1)$ and $\operatorname{sl}(2)$ . The corresponding face state sum models for the generalized Conway function are presented.

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Retrieve articles in St. Petersburg Mathematical Journal with MSC (2000): 05C99, 81R99, 57M25

O. Viro
Affiliation: Department of Mathematics, Uppsala University, Box 480, S-751 06 Uppsala, Sweden, and St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
Email: oleg@math.uu.se

DOI: 10.1090/S1061-0022-07-00956-9
PII: S 1061-0022(07)00956-9
Keywords: Multivariate Conway function, Reshetikhin--Turaev functor, Alexander polynomial, quantum topology, generic graph
Received by editor(s): 10/JAN/2006
Posted: April 11, 2007
Copyright of article: Copyright 2007, American Mathematical Society

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ISSN: 1547-7371(e) ISSN: 1061-0022(p)

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