Let K be a commutative ring with unit. For a K-linear endomorphism f: X! X of a free K-
module of ˇnite rank X, we have the usual trace Tr (f) 2 K deˇned as the trace of the matrix of f …

Knot theory is a rapidly developing field of research with many applications not only for
mathematics. The present volume, written by a well-known specialist, gives a complete …

We construct in detail a 2+ 1 dimensional gauge field theory with finite gauge group. In this
case the path integral reduces to a finite sum, so there are no analytic problems with the …

We derive (quasi-) quantum groups in 2+ 1 dimensional topological field theory directly from
the classical action and the path integral. Detailed computations are carried out for the …

This thesis provides an introduction to the various category theory ideas employed in
topological quantum field theory. These theories are viewed as symmetric monoidal functors …

This monograph ˇrst appeared in 1994 and was re-edited with minor changes in 2010. The
present third edition (2016) differs from the second one only by the updated bibliography …

2+1-D topological quantum field theory and 2-D conformal field theory Page 1 Commun. Math.
Phys. 171, 405-458 (1995) Communications in MathematJc Physics 9 Springer-Verlag 1995 2 …

Applying TQFT to count regular coverings of Seifert 3-manifolds - ScienceDirect Skip to main
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In this article we give a detailed exposition of 3-dimensional untwisted Dijkgraaf-Witten
theory. Given a finite group Γ, we are able to express the associated DW invariant of a link in …

arXiv:1801.02323v2 [math.RT] 15 Mar 2018 Page 1 arXiv:1801.02323v2 [math.RT] 15 Mar
2018 Representation category of the quantum double of SL(2,q) Haimiao Chen ∗ Mathematics …