@article{c43310c77d70496eb0e30b4fa22326fc,
title = "Adams operations on matrix factorizations",
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 and Soul{\'e}. As an application, we give a proof of a conjecture of Dao and Kurano concerning the vanishing of Hochster{\textquoteright}s θ pairing.",
keywords = "Adams operations, Hochster{\textquoteright}s theta pairing, Matrix factorizations",
author = "Brown, {Michael K.} and Claudia Miller and Peder Thompson and Walker, {Mark E.}",
note = "Funding Information: This work was partially supported by a grant from the Simons Foundation (#318705 for Mark Walker) and grants from the National Science Foundation (NSF Award DMS-0838463 for Michael Brown and Peder Thompson and NSF Award DMS-1003384 for Claudia Miller). MSC2010: primary 13D15; secondary 13D02, 13D09, 13D22. Keywords: Adams operations, matrix factorizations, Hochster{\textquoteright}s theta pairing. Publisher Copyright: {\textcopyright} 2017 Mathematical Sciences Publishers.",
year = "2017",
doi = "10.2140/ant.2017.11.2165",
language = "English (US)",
volume = "11",
pages = "2165--2192",
journal = "Algebra and Number Theory",
issn = "1937-0652",
publisher = "Mathematical Sciences Publishers",
number = "9",
}