Zobrazeno 1 - 10
of 719
pro vyhledávání: '"Palmer, Martin"'
Autor:
Palmer, Martin, Soulié, Arthur
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G7, Pp 781-797 (2022)
We give a simple topological construction of the Burau representations of the loop braid groups. There are four versions: defined either on the non-extended or extended loop braid groups, and in each case there is an unreduced and a reduced version.
Externí odkaz:
https://doaj.org/article/e2efb869adb24a4ab80110788b9270f1
Autor:
Palmer, Martin, Wu, Xiaolei
For any infinite-type surface $S$, a natural question is whether the homology of its mapping class group contains any non-trivial classes that are supported on (i) a compact subsurface or (ii) a finite-type subsurface. Our purpose here is to study th
Externí odkaz:
http://arxiv.org/abs/2405.03512
In previous work we constructed twisted representations of mapping class groups of surfaces, depending on a choice of representation $V$ of the Heisenberg group $\mathcal{H}$. For certain $V$ we were able to untwist these mapping class group represen
Externí odkaz:
http://arxiv.org/abs/2306.08614
Autor:
Palmer, Martin, Soulié, Arthur
We study a wide range of homologically-defined representations of surface braid groups and of mapping class groups of surfaces, extending the Lawrence-Bigelow representations of the classical braid groups. These representations naturally come in fami
Externí odkaz:
http://arxiv.org/abs/2302.08827
Autor:
Palmer, Martin, Wu, Xiaolei
We prove that, for any infinite-type surface $S$, the integral homology of the closure of the compactly-supported mapping class group $\overline{\mathrm{PMap}_c(S)}$ and of the Torelli group $\mathcal{T}(S)$ is uncountable in every positive degree. B
Externí odkaz:
http://arxiv.org/abs/2212.11942
Autor:
Palmer, Martin, Tillmann, Ulrike
Publikováno v:
Proc. R. Soc. A., vol. 479 (2023), article number 20230300
We prove homological stability for two different flavours of asymptotic monopole moduli spaces, namely moduli spaces of framed Dirac monopoles and moduli spaces of ideal monopoles. The former are Gibbons-Manton torus bundles over configuration spaces
Externí odkaz:
http://arxiv.org/abs/2212.11799
Autor:
Palmer, Martin, Wu, Xiaolei
We prove that the mapping class group of the one-holed Cantor tree surface is acyclic. This in turn determines the homology of the mapping class group of the once-punctured Cantor tree surface (i.e. the plane minus a Cantor set), in particular answer
Externí odkaz:
http://arxiv.org/abs/2211.07470
Autor:
Palmer, Martin, Soulié, Arthur
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 having the original LKB representation as its bottom layer. We also construc
Externí odkaz:
http://arxiv.org/abs/2211.01855