We introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual)
switch. Using (virtual) multi-switches we introduce a general approach of how to construct …

We study the kernels of representations of mapping class groups of surfaces on twisted
homologies of configuration spaces. We relate them with the kernel of a natural twisted …

A family of representations of braid groups on surfaces Page 1 Pacific Journal of Mathematics
A FAMILY OF REPRESENTATIONS OF BRAID GROUPS ON SURFACES BYUNG HEE AN …

arXiv:2004.00977v2 [math.GT] 9 Apr 2020 Page 1 COLORED VERSION FOR LAWRENCE
REPRESENTATIONS JULES MARTEL Abstract. We give an explicit isomorphism between the …

While much is known about the faithfulness of the Burau representation, the problem
remains open for the Gassner representation for every $ B_n $ with $ n\geq 4$. We first find …

The braid group admits several useful representations. For any given representation, the two
primary questions are (1)“what is the image?” and (2)“what is the kernel?” Depending on the …

In this thesis we delve into the computation of the Gassner invariant for string links, which
are a more generalized form than braids, utilizing a (co) homological approach. We restrict …

(R⊗ id)(id⊗ R)(R⊗ id)=(id⊗ R)(R⊗ id)(id⊗ R),(1.1) где (R⊗ id)(u⊗ v⊗ w)= R (u⊗ v)⊗ w,(id⊗
R)(u⊗ v⊗ w)= u⊗ R (v⊗ w) длÿ векторов u, v, w из V. Равенство (1.1) в этом случае …

Dans ce travail, nous donnons des interprétations homologiquesa certains invariants
quantiques. Nous définissons et nous interprétons des représentations quantiques des …

This note is an appendix of Goto's Master Dissertation3). The subject is THEOREM 3.14 of
Birman's book1) which states that the kernel of the Gassner representation is a subset of the …