Homological Projective Duality via Variation of Geometric Invariant Theory Quotients

Abstract

We provide a geometric approach to constructing Lefschetz collections and Landau-Ginzburg Homological Projective Duals from a variation of Geometric Invariant Theory quotients. This approach yields homological projective duals for Veronese embeddings in the setting of Landau Ginzburg models. Our results also extend to a relative Homological Projective Duality framework.

32 pages, expanded the original into two parts, accepted for publication in JEMS

References in corpus (4)

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• Homological projective duality for Grassmannians of lines
• On the perturbation lemma, and deformations
• Hochschild homology and semiorthogonal decompositions

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