Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320869475> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4320869475 abstract "We study the behavior of Donaldson's invariants of 4-manifolds based on the moduli space of anti self-dual connections (instantons) in the perturbative field theory setting where the underlying source manifold has boundary. It is well-known that these invariants take values in the instanton Floer homology groups of the boundary 3-manifold. Gluing formulae for these constructions lead to a functorial topological field theory description according to a system of axioms developed by Atiyah, which can be also regarded in the setting of perturbative quantum field theory, as it was shown by Witten, using a version of supersymmetric Yang-Mills theory, known today as Donaldson-Witten theory. One can actually formulate an AKSZ model which recovers this theory for a certain gauge-fixing. We consider these constructions in a perturbative quantum gauge formalism for manifolds with boundary that is compatible with cutting and gluing, called the BV-BFV formalism, which was recently developed by Cattaneo, Mnev and Reshetikhin. We prove that this theory satisfies a modified Quantum Master Equation and extend the result to a global picture when perturbing around constant background fields. Additionally, we relate these constructions to Nekrasov's partition function by treating an equivariant version of Donaldson-Witten theory in the BV formalism. Moreover, we discuss the extension, as well as the relation, to higher gauge theory and enumerative geometry methods, such as Gromov-Witten and Donaldson-Thomas theory and recall their correspondence conjecture for general Calabi-Yau 3-folds. In particular, we discuss the corresponding (relative) partition functions, defined as the generating function for the given invariants, and gluing phenomena." @default.
- W4320869475 created "2023-02-16" @default.
- W4320869475 creator A5062622288 @default.
- W4320869475 date "2021-07-01" @default.
- W4320869475 modified "2023-09-29" @default.
- W4320869475 title "4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism" @default.
- W4320869475 doi "https://doi.org/10.48550/arxiv.2107.00304" @default.
- W4320869475 hasPublicationYear "2021" @default.
- W4320869475 type Work @default.
- W4320869475 citedByCount "0" @default.
- W4320869475 crossrefType "posted-content" @default.
- W4320869475 hasAuthorship W4320869475A5062622288 @default.
- W4320869475 hasBestOaLocation W43208694751 @default.
- W4320869475 hasConcept C121294916 @default.
- W4320869475 hasConcept C125198404 @default.
- W4320869475 hasConcept C142362112 @default.
- W4320869475 hasConcept C153349607 @default.
- W4320869475 hasConcept C168619227 @default.
- W4320869475 hasConcept C171036898 @default.
- W4320869475 hasConcept C181830111 @default.
- W4320869475 hasConcept C202444582 @default.
- W4320869475 hasConcept C33923547 @default.
- W4320869475 hasConcept C37914503 @default.
- W4320869475 hasConcept C558565934 @default.
- W4320869475 hasConcept C73301696 @default.
- W4320869475 hasConcept C73373263 @default.
- W4320869475 hasConcept C7503960 @default.
- W4320869475 hasConceptScore W4320869475C121294916 @default.
- W4320869475 hasConceptScore W4320869475C125198404 @default.
- W4320869475 hasConceptScore W4320869475C142362112 @default.
- W4320869475 hasConceptScore W4320869475C153349607 @default.
- W4320869475 hasConceptScore W4320869475C168619227 @default.
- W4320869475 hasConceptScore W4320869475C171036898 @default.
- W4320869475 hasConceptScore W4320869475C181830111 @default.
- W4320869475 hasConceptScore W4320869475C202444582 @default.
- W4320869475 hasConceptScore W4320869475C33923547 @default.
- W4320869475 hasConceptScore W4320869475C37914503 @default.
- W4320869475 hasConceptScore W4320869475C558565934 @default.
- W4320869475 hasConceptScore W4320869475C73301696 @default.
- W4320869475 hasConceptScore W4320869475C73373263 @default.
- W4320869475 hasConceptScore W4320869475C7503960 @default.
- W4320869475 hasLocation W43208694751 @default.
- W4320869475 hasOpenAccess W4320869475 @default.
- W4320869475 hasPrimaryLocation W43208694751 @default.
- W4320869475 hasRelatedWork W1485643998 @default.
- W4320869475 hasRelatedWork W2100353577 @default.
- W4320869475 hasRelatedWork W2964134901 @default.
- W4320869475 hasRelatedWork W2996578068 @default.
- W4320869475 hasRelatedWork W3126044493 @default.
- W4320869475 hasRelatedWork W3173752018 @default.
- W4320869475 hasRelatedWork W3184906571 @default.
- W4320869475 hasRelatedWork W4310898866 @default.
- W4320869475 hasRelatedWork W4317357951 @default.
- W4320869475 hasRelatedWork W4320869475 @default.
- W4320869475 isParatext "false" @default.
- W4320869475 isRetracted "false" @default.
- W4320869475 workType "article" @default.