Michael K. Brown

collaborators

4 papers

math.KT2019

A proof of a conjecture of Shklyarov

Michael K. Brown, Mark E. Walker

We prove a conjecture of Shklyarov concerning the relationship between K. Saito's higher residue pairing and a certain pairing on the periodic cyclic homology of matrix factorizati…

math.AG2019

Standard Conjecture D for matrix factorizations

Michael K. Brown, Mark E. Walker

We prove the non-commutative analogue of Grothendieck's Standard Conjecture D for the dg-category of matrix factorizations of an isolated hypersurface singularity in characteristic…

math.AC2018

Computing Schur complexes

Michael K. Brown, Hang Huang, Robert P. Laudone +4

We describe a Macaulay2 package for computing Schur complexes. This package expands on the ChainComplexOperations package by David Eisenbud.

math.KT2018

A Chern-Weil formula for the Chern character of a perfect curved module

Michael K. Brown, Mark E. Walker

Let $k$ be a field of characteristic 0 and $A$ a curved $k$ -algebra. We obtain a Chern-Weil-type formula for the Chern character of a perfect $A$ -module taking…