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Doryn, Dmitry
기하학 수리물리 연구단
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Non-degeneracy of Cohomological Traces for General Landau-Ginzburg Models

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Title
Non-degeneracy of Cohomological Traces for General Landau-Ginzburg Models
Author(s)
Dmitry Doryn; Calin Iuliu Lazaroiu
Publication Date
2023-01
Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.397, no.1, pp.53 - 84
Publisher
SPRINGER
Abstract
We prove non-degeneracy of the cohomological bulk and boundary traces for general open-closed Landau-Ginzburg models associated to a pair (X, W), where X is a non-compact complex manifold with trivial canonical line bundle and W is a complex-valued holomorphic function defined on X, assuming only that the critical locus of W is compact (but may not consist of isolated points). These results can be viewed as certain "deformed" versions of Serre duality. The first amounts to a duality property for the hypercohomology of the sheaf Koszul complex of W, while the second is equivalent with the statement that a certain power of the shift functor is a Serre functor on the even subcategory of the Z(2)-graded category of topological D-branes of such models.
URI
https://pr.ibs.re.kr/handle/8788114/12459
DOI
10.1007/s00220-022-04423-9
ISSN
0010-3616
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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