2 citations · 3 across the 7 of their papers we have counts for
9 papers
Universal compactified Jacobians: cohomological invariance and boundary combinatorics
Rahul Pandharipande, Dan Petersen, Johannes Schmitt +1
Pagani and Tommasi have introduced a class of smoothable fine compactified Jacobians over the moduli spa…
Unifying Koszul dualities via point-set models
Dan Petersen, Victor Roca i Lucio, Sinan Yalin
The classical bar-cobar adjunction between dg algebras and dg coalgebras goes back to the origins of differential homological algebra as developed by Cartan, Eilenberg, Moore, and…
The low degree cohomology of compactifications of
Samir Canning, Dan Petersen, Olivier Taïbi
We compute the low degree -adic intersection cohomology of symplectic local systems on the Satake compactification of the moduli space of principally polarized abelian…
Point-set models for homotopy coherent coalgebras
Dan Petersen, Victor Roca i Lucio, Sinan Yalin
We show a first rectification result for homotopy chain coalgebras over a field. On the one hand, we consider the -category obtained by localizing differential graded coalg…
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…
Cohomological field theories with non-tautological classes
R. Pandharipande, D. Zvonkine
A method of constructing Cohomological Field Theories (CohFTs) with unit using minimal classes on the moduli spaces of curves is developed. As a simple consequence, CohFTs with uni…