[書籍][B] Knots

G Burde, H Zieschang - 2002 - degruyter.com
Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

[書籍][B] Multidimensional hypergeometric functions the representation theory of Lie Algebras and quantum groups

A Varchenko - 1995 - books.google.com
This book recounts the connections between multidimensional hypergeometric functions
and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a …

Problems on invariants of knots and 3-manifolds

T Ohtsuki - Geom. Topol. Monogr, 2002 - msp.org
The workshop and seminars on “Invariants of knots and 3-manifolds” was held at Research
Institute for Mathematical Sciences, Kyoto University in September 2001. There were 25 …

Homological representations of the Iwahori–Hecke algebra

S Bigelow - Geometry & Topology Monographs, 2004 - msp.org
Abstract Representations of the Iwahori–Hecke algebra of type An− 1 are equivalent to
representations of the braid group Bn for which the generators satisfy a certain quadratic …

The lawrence-krammer representation

S Bigelow - arxiv preprint math/0204057, 2002 - arxiv.org
The Lawrence-Krammer representation of the braid groups recently came to prominence
when it was shown to be faithful by myself and Krammer. It is an action of the braid group on …

A homological definition of the HOMFLY polynomial

S Bigelow - Algebraic & Geometric Topology, 2007 - msp.org
We give a new definition of the knot invariant associated to the Lie algebra su N+ 1.
Knowing these for all N is equivalent to knowing the HOMFLY polynomial. Our definition …

[PDF][PDF] The pro-nilpotent Lawrence-Krammer-Bigelow representation

M Palmer, A Soulié - arxiv preprint arxiv:2211.01855, 2022 - mdp.ac
We construct a 3-variable enrichment of the Lawrence-Krammer-Bigelow (LKB)
representation of the braid groups, which is the limit of a pro-nilpotent tower of …

Representations of braid groups

S Bigelow - arxiv preprint math/0304212, 2003 - arxiv.org
In this paper we survey some work on representations of $ B_n $ given by the induced
action on a homology module of some space. One of these, called the Lawrence-Krammer …

Generalized Long-Moody representations of braid groups

S Bigelow, JP Tian - Communications in Contemporary …, 2008 - World Scientific
Long and Moody give a method of constructing representations of the braid groups Bn. We
discuss some ways to generalize their construction. One of these gives representations of …

de Gruyter Studies in Mathematics

F Hirsch, M Campiti, Y Oshima, M Takeda, H Heyer… - degruyter.com
In many branches of mathematics, one encounters the question of how to reconstruct a
convex set from information on its vertices. This idea successfully emerged as the Krein …