Adams Operations on Matrix Factorizations
K-Theory and Homology
2018-03-16 v1 Commutative Algebra
Abstract
We define Adams operations on matrix factorizations, and we show these operations enjoy analogues of several key properties of the Adams operations on perfect complexes with support developed by Gillet-Soul\'e in their paper "Intersection Theory Using Adams Operations". As an application, we give a proof of a conjecture of Dao-Kurano concerning the vanishing of Hochster's theta invariant.
Cite
@article{arxiv.1610.09907,
title = {Adams Operations on Matrix Factorizations},
author = {Michael K. Brown and Claudia Miller and Peder Thompson and Mark E. Walker},
journal= {arXiv preprint arXiv:1610.09907},
year = {2018}
}
Comments
21 pages