Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics

DOI10.1007/978-3-030-01156-7zbMath1417.53002arXiv1709.00684OpenAlexW4235887583MaRDI QIDQ1722893

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Publication date: 18 February 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Abstract: We describe a mathematically rigorous differential model for B-type open-closed topological Landau-Ginzburg theories defined by a pair $(X,W)$, where $X$ is a non-compact K"ahlerian manifold with holomorphically trivial canonical line bundle and $W$ is a complex-valued holomorphic function defined on $X$ and whose critical locus is compact but need not consist of isolated points. We also show how this construction specializes to the case when $X$ is Stein and $W$ has finite critical set, in which case one recovers a simpler mathematical model.

Full work available at URL: https://arxiv.org/abs/1709.00684

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to differential geometry (53-06) Proceedings, conferences, collections, etc. pertaining to quantum theory (81-06) Applications of differential geometry to physics (53Z05) Partial differential equations of mathematical physics and other areas of application (35Qxx)