From the 1 of 7 linked papers with an AI index.
2 citations · 2 across the 2 of their papers we have counts for
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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…
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…
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 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.