A Note on Semi-Infinite Non-Commutative Hodge Theory and LG-Models

2018/06/03 by Emile Bouaziz, E. Bouaziz, Bouaziz, E.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1806.00854

arxiv created 2018/06/03 · openalex publication_date 2018/06/03 · arxiv updated 2018/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study some semi-infinite invariants associated to Landau-Ginzburg models. These specialize classically to the usual twisted de Rham package and in the case of vanishing potential to the chiral de Rham complex of Malikov, Schechtman and Vaintrob, \citeMSV. Further we offer some small evidence that these semi-infinite invariants can be associated to dg- categories more generally, so that in the classical limit they reproduce the usual non-commutative Hodge theory associated to the category.

Citations

• Chiral de Rham Complex and Orbifolds

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