Publication:

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

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Date

Date
2023
Journal Article
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cris.lastimport.scopus2025-06-22T03:31:28Z
cris.lastimport.wos2025-07-28T01:34:27Z
cris.virtual.orcidhttps://orcid.org/0000-0001-5775-758X
cris.virtualsource.orcide20e5945-688f-42f6-a16d-1f26fc1d913b
dc.contributor.institutionUniversity of Zurich
dc.date.accessioned2023-10-10T15:14:00Z
dc.date.available2023-10-10T15:14:00Z
dc.date.issued2023-10-01
dc.description.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).

dc.identifier.doi10.1016/j.geomphys.2023.104956
dc.identifier.issn0393-0440
dc.identifier.scopus2-s2.0-85167996528
dc.identifier.urihttps://www.zora.uzh.ch/handle/20.500.14742/210271
dc.identifier.wos001059285200001
dc.language.isoeng
dc.subjectGeometry and Topology
dc.subjectGeneral Physics and Astronomy
dc.subjectMathematical Physics Classical field theory
dc.subjectCutting-gluing
dc.subjectBatalin-Vilkovisky formalism
dc.subjectFiber product
dc.subjectChain homotopy
dc.subject.ddc510 Mathematics
dc.title

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

dc.typearticle
dcterms.accessRightsinfo:eu-repo/semantics/openAccess
dcterms.bibliographicCitation.journaltitleJournal of Geometry and Physic
dcterms.bibliographicCitation.originalpublishernameElsevier
dcterms.bibliographicCitation.pagestart104956
dcterms.bibliographicCitation.volume192
dspace.entity.typePublicationen
uzh.contributor.affiliationUniversity of Zurich
uzh.contributor.affiliationUniversity of Notre Dame, St. Petersburg Department of V.A.Steklov Institute of Mathematics of the Russian Academy of Sciences
uzh.contributor.authorCattaneo, Alberto S
uzh.contributor.authorMnev, Pavel
uzh.contributor.correspondenceYes
uzh.contributor.correspondenceNo
uzh.document.availabilitypublished_version
uzh.eprint.datestamp2023-10-10 15:14:00
uzh.eprint.lastmod2025-07-28 01:40:41
uzh.eprint.statusChange2023-10-10 15:14:00
uzh.funder.nameSimons Foundation
uzh.funder.nameNational Centres of Competence in Research SwissMAP
uzh.harvester.ethYes
uzh.harvester.nbNo
uzh.identifier.doi10.5167/uzh-237260
uzh.jdb.eprintsId11804
uzh.note.publicAcknowledgments 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.
uzh.oastatus.unpaywallhybrid
uzh.oastatus.zoraHybrid
uzh.oatransformation.contractTRUE
uzh.oatransformation.contractDate01.01.2023-31.12.2023
uzh.oatransformation.contractIDElsevier2023
uzh.oatransformation.contractNameElsevier Journals
uzh.oatransformation.contractURL
uzh.publication.citationCattaneo, Alberto S; Mnev, Pavel (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. Journal of Geometry and Physic, 192:104956.
uzh.publication.originalworkoriginal
uzh.publication.publishedStatusfinal
uzh.scopus.impact2
uzh.scopus.subjectsMathematical Physics
uzh.scopus.subjectsGeneral Physics and Astronomy
uzh.scopus.subjectsGeometry and Topology
uzh.workflow.doajuzh.workflow.doaj.false
uzh.workflow.eprintid237260
uzh.workflow.fulltextStatuspublic
uzh.workflow.revisions45
uzh.workflow.rightsCheckkeininfo
uzh.workflow.sourceCrossref:10.1016/j.geomphys.2023.104956
uzh.workflow.statusarchive
uzh.wos.impact2
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