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 Kählerian manifold with holomorphically trivial canonical line bundle andW 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.
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Babalic, E.M., Doryn, D., Lazaroiu, C.I., Tavakol, M. (2019). A Differential Model for B-Type Landau–Ginzburg Theories. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVI. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01156-7_22
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DOI: https://doi.org/10.1007/978-3-030-01156-7_22
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-01155-0
Online ISBN: 978-3-030-01156-7
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