Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips
Algebraic Geometry
2019-02-13 v2
Abstract
We show the existence of semiorthogonal decompositions (SOD) of Pandharipande-Thomas (PT) stable pair moduli spaces on Calabi-Yau 3-folds with irreducible curve classes, assuming relevant moduli spaces are non-singular. The above result is motivated by categorifications of wall-crossing formula of PT invariants in the derived category, and also a d-critical analogue of Bondal-Orlov, Kawamata's D/K equivalence conjecture. We also give SOD of stable pair moduli spaces on K3 surfaces, which categorifies Kawai-Yoshioka's formula proving Katz-Klemm-Vafa formula for PT invariants on K3 surfaces with irreducible curve classes.
Keywords
Cite
@article{arxiv.1805.00183,
title = {Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips},
author = {Yukinobu Toda},
journal= {arXiv preprint arXiv:1805.00183},
year = {2019}
}
Comments
50 pages