A category of kernels for equivariant factorizations, II: Further implications

Matthew Ballard; David Favero; Ludmil Katzarkov

doi:10.1016/j.matpur.2014.02.004

A category of kernels for equivariant factorizations, II: Further implications

Matthew Ballard, David Favero, Ludmil Katzarkov

Mathematics

Research output: Contribution to journal › Article

5 Scopus citations

Abstract

We leverage the results of the prequel [8], in combination with a theorem of D. Orlov to create a categorical covering picture for factorizations. As applications, we provide a conjectural geometric framework to further understand M. Kontsevich's Homological Mirror Symmetry conjecture and obtain new cases of a conjecture of Orlov concerning the Rouquier dimension of the bounded derived category of coherent sheaves on a smooth variety.

Original language	English (US)
Pages (from-to)	702-757
Number of pages	56
Journal	Journal des Mathematiques Pures et Appliquees
Volume	102
Issue number	4
DOIs	https://doi.org/10.1016/j.matpur.2014.02.004
State	Published - Oct 1 2014

Keywords

Derived categories
Homological Mirror Symmetry
Matrix factorizations
Rouquier dimension

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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Ballard, M., Favero, D., & Katzarkov, L. (2014). A category of kernels for equivariant factorizations, II: Further implications. Journal des Mathematiques Pures et Appliquees, 102(4), 702-757. https://doi.org/10.1016/j.matpur.2014.02.004

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