**Mutations of noncommutative crepant resolutions: Exchanges & Mutations of modifying modules**

Jun 09, 2024

by Eigenvector Initialization PublicationJune 9th, 2024

**Authors:**

(1) Wahei Hara;

(2) Yuki Hirano.

- Abstract and Intro
- Exchanges and Mutations of modifying modules
- Quasi-symmetric representation and GIT quotient
- Main results
- Applications to Calabi-Yau complete intersections
- Appendix A. Matrix factorizations
- Appendix B. List of Notation
- References

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.

L O A D I N G

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