2 citations · 3 across the 7 of their papers we have counts for
4 papers · 1 filter
The handlebody group is a virtual duality group
Dan Petersen, Richard D. Wade
We show that the mapping class group of a handlebody is a virtual duality group, in the sense of Bieri and Eckmann. In positive genus we give a description of the dualising module…
Multiplicative Chow-Künneth decomposition and homology splitting of configuration spaces
Dan Petersen, Orsola Tommasi
We construct a splitting of the cohomology of configuration spaces of points on a smooth proper variety with a multiplicative Chow--Künneth decomposition. Applied to hyperelliptic…
The Mumford conjecture (after Bianchi)
Ronno Das, Dan Petersen
We give a self-contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Uniform twisted homological stability
Jeremy Miller, Peter Patzt, Dan Petersen +1
We prove a homological stability theorem for families of discrete groups (e.g. mapping class groups, automorphism groups of free groups, braid groups) with coefficients in a sequen…