Group-Twisted Alexander-Whitney and Eilenberg-Zilber Maps
Sign Up to like & getrecommendations! Published in 2019 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-020-09950-4
Abstract: We define group-twisted Alexander-Whitney and Eilenberg-Zilber maps for converting between bimodule resolutions of skew group algebras. These algebras are the natural semidirect products recording actions of finite groups by automorphisms. The group-twisted chain maps allow… read more here.
Keywords: eilenberg zilber; alexander whitney; group; group twisted ... See more keywords
Row relations of twisted Alexander matrices and shadow quandle 2-cocycles
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107513
Abstract: Abstract An Alexander pair ( f 1 , f 2 ) and an ( f 1 , f 2 ) -twisted 2-cocycle can be used to define a generalization of twisted Alexander matrices and twisted… read more here.
Keywords: alexander; shadow quandle; quandle cocycle; alexander matrices ... See more keywords
Burau Maps and Twisted Alexander Polynomials
Sign Up to like & getrecommendations! Published in 2018 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091517000128
Abstract: Abstract The Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define twisted Burau maps and use them to compute twisted Alexander polynomials. read more here.
Keywords: maps twisted; alexander polynomials; burau maps; twisted alexander ... See more keywords
Adjoint twisted Alexander polynomial of twisted Whitehead links
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Knot Theory and Its Ramifications"
DOI: 10.1142/s0218216518500268
Abstract: The adjoint twisted Alexander polynomial has been computed for twist knots [A. Tran, Twisted Alexander polynomials with the adjoint action for some classes of knots, J. Knot Theory Ramifications 23(10) (2014) 1450051], genus one two-bridge… read more here.
Keywords: adjoint twisted; alexander polynomial; twisted whitehead; whitehead links ... See more keywords