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

Matthew Ballard, David Favero, Ludmil Katzarkov

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)702-757
Number of pages56
JournalJournal des Mathematiques Pures et Appliquees
Volume102
Issue number4
DOIs
StatePublished - Oct 1 2014

Fingerprint

Factorization
Equivariant
Mirrors
kernel
Mirror Symmetry
Coherent Sheaf
Derived Category
Leverage
Categorical
Covering
Theorem
Framework

Keywords

  • Derived categories
  • Homological Mirror Symmetry
  • Matrix factorizations
  • Rouquier dimension

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

Cite this

A category of kernels for equivariant factorizations, II : Further implications. / Ballard, Matthew; Favero, David; Katzarkov, Ludmil.

In: Journal des Mathematiques Pures et Appliquees, Vol. 102, No. 4, 01.10.2014, p. 702-757.

Research output: Contribution to journalArticle

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