Publication:

A note on gluing via fiber products in the (classical) BV-BFV formalism

Date

Date

Date
2023
Journal Article
Published version

Citations

Citation copied

Cattaneo, A. S., & Mnev, P. (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. Journal of Geometry and Physic, 192, 104956. https://doi.org/10.1016/j.geomphys.2023.104956

Abstract

Abstract

Abstract

In classical field theory, gluing spacetime manifolds along boundary corresponds to taking a fiber product of the corresponding spaces of fields (as differential graded Fréchet manifolds) up to homotopy. We construct this homotopy explicitly in several examples in the setting of BV-BFV formalism (Batalin–Vilkovisky formalism with cutting–gluing).

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31 since deposited on 2023-10-10
Acq. date: 2025-11-08

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46 since deposited on 2023-10-10
Acq. date: 2025-11-08

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Creators (Authors)

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
192

Page Range

Page Range

Page Range
104956

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Geometry and Topology, General Physics and Astronomy, Mathematical Physics Classical field theory, Cutting-gluing, Batalin-Vilkovisky formalism, Fiber product, Chain homotopy

Language

Language

Language
English

Publication date

Publication date

Publication date
2023-10-01

Date available

Date available

Date available
2023-10-10

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0393-0440

Additional Information

Additional Information

Additional Information
Acknowledgments We thank Eugene Rabinovich for sharing some ideas related to this work. We are also very much indebted to Domenico Fiorenza and Bruno Vallette for helpful comments and for suggesting (independently) the construction sketched in Section 2.3.

OA Status

OA Status

OA Status
Hybrid

Funder name

Funder name

Funder name
Simons Foundation
National Centres of Competence in Research SwissMAP

Metrics

Downloads

31 since deposited on 2023-10-10
Acq. date: 2025-11-08

Views

46 since deposited on 2023-10-10
Acq. date: 2025-11-08

Citations

Citation copied

Cattaneo, A. S., & Mnev, P. (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. Journal of Geometry and Physic, 192, 104956. https://doi.org/10.1016/j.geomphys.2023.104956

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