A differential model for B-Type Landau-Ginzburg theories

Elena Mirela Babalic; Dmitry Doryn; Calin Iuliu Lazaroiu; Mehdi Tavakol

doi:10.1007/978-3-030-01156-7_22

A differential model for B-Type Landau-Ginzburg theories

Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol

Research output: Chapter in Book / Conference Paper › Chapter

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 KÃƒÂƒÃ‚Â¤hlerian 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.

Original language	English
Title of host publication	Geometric Methods in Physics XXXVI: Workshop and Summer School, Białowieża, Poland, 2017
Editors	Piotr Kielanowski, Anatol Odzijewicz, Emma Previato
Place of Publication	Switzerland
Publisher	Springer
Pages	207-214
Number of pages	8
ISBN (Electronic)	9783030011567
ISBN (Print)	9783030011550
DOIs	https://doi.org/10.1007/978-3-030-01156-7_22
Publication status	Published - 2019

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10.1007/978-3-030-01156-7_22

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title = "A differential model for B-Type Landau-Ginzburg theories",

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{\~A}ƒ{\^A}ƒ{\~A}‚{\^A}¤hlerian 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.",

author = "Babalic, {Elena Mirela} and Dmitry Doryn and Lazaroiu, {Calin Iuliu} and Mehdi Tavakol",

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A differential model for B-Type Landau-Ginzburg theories. / Babalic, Elena Mirela; Doryn, Dmitry; Lazaroiu, Calin Iuliu et al.
Geometric Methods in Physics XXXVI: Workshop and Summer School, Białowieża, Poland, 2017. ed. / Piotr Kielanowski; Anatol Odzijewicz; Emma Previato. Switzerland: Springer, 2019. p. 207-214.

Research output: Chapter in Book / Conference Paper › Chapter

TY - CHAP

T1 - A differential model for B-Type Landau-Ginzburg theories

AU - Babalic, Elena Mirela

AU - Doryn, Dmitry

AU - Lazaroiu, Calin Iuliu

AU - Tavakol, Mehdi

PY - 2019

Y1 - 2019

N2 - 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 KÃƒÂƒÃ‚Â¤hlerian 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.

AB - 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 KÃƒÂƒÃ‚Â¤hlerian 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.

UR - https://hdl.handle.net/1959.7/uws:77963

U2 - 10.1007/978-3-030-01156-7_22

DO - 10.1007/978-3-030-01156-7_22

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SN - 9783030011550

SP - 207

EP - 214

BT - Geometric Methods in Physics XXXVI: Workshop and Summer School, Białowieża, Poland, 2017

A2 - Kielanowski, Piotr

A2 - Odzijewicz, Anatol

A2 - Previato, Emma

PB - Springer

CY - Switzerland

ER -

A differential model for B-Type Landau-Ginzburg theories

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