Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations
2024-6-9 21:30:28 Author: hackernoon.com(查看原文) 阅读量:10 收藏

Authors:

(1) Wahei Hara;

(2) Yuki Hirano.

Appendix A. Matrix factorizations

This appendix recalls definitions and fundamental properties of derived factorization categories. See [Pos, BFK1, BDFIK, Hir1, Hir3] for more details.

where W in the left LG model denotes f ∗W by abuse of notation, and the functor (A.A) defines the right derived functor

The following shows an equivariant and factorization version of a tilting equivalence.

Lemma A.6 ([BFK1, Proposition 3.20][1]). Assume that the sections s and t ∗ are regular. Then there are isomorphisms

This paper is available on arxiv under CC0 1.0 DEED license.


[1] There is a typo in the latter assertion in loc. cit.


文章来源: https://hackernoon.com/mutations-of-noncommutative-crepant-resolutions-appendix-a-matrix-factorizations?source=rss
如有侵权请联系:admin#unsafe.sh