15 citations · 85 across the 24 of their papers we have counts for
5 papers · 1 filter
Big mapping class groups with uncountable integral homology
Martin Palmer, Xiaolei Wu
We prove that, for any infinite-type surface , the integral homology of the closure of the compactly-supported mapping class group and of the Tor…
Homology stability for asymptotic monopole moduli spaces
Martin Palmer, Ulrike Tillmann
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.…
On the homology of big mapping class groups
Martin Palmer, Xiaolei Wu
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…
The pro-nilpotent Lawrence-Krammer-Bigelow representation
Martin Palmer, Arthur Soulié
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…
When the lower central series stops: a comprehensive study for braid groups and their relatives
Jacques Darné, Martin Palmer, Arthur Soulié
Understanding the lower central series of a group is, in general, a difficult task. It is, however, a rewarding one: computing the lower central series and the associated Lie algeb…