Matches in SemOpenAlex for { <https://semopenalex.org/work/W110675718> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W110675718 abstract "This is a written account of expository lectures delivered at the summer school on “Enumerative invariants in algebraic geometry and string theory” of the Centro Internazionale Matematico Estivo, held in Cetraro in June 2005. However, it differs considerably from the lectures as they were actually given. Three of the lectures in the series were devoted to the recent work of Donaldson–Thomas, Maulik–Nekrasov–Okounkov–Pandharipande, and Nakajima–Yoshioka. Since this is well documented in the literature, it seemed needless to write it up again. Instead, what follows is a greatly expanded version of the other lectures, which were a little more speculative and the least strictly confined to algebraic geometry. However, they should interest algebraic geometers who have been contemplating orbifold cohomology and its close relative, the so-called Fantechi–Gottsche ring, which are discussed in the final portion of these notes. Indeed, we intend to argue that orbifold cohomology is essentially the same as a symplectic cohomology theory, namely Floer cohomology. More specifically, the quantum product structures on Floer cohomology and on the Fantechi–Gottsche ring should coincide. None of this should come as a surprise, since orbifold cohomology arose chiefly from the work of Chen–Ruan in the symplectic setting, and since the differentials in both theories involve the counting of holomorphic curves. Nevertheless, the links between the two theories are worth spelling out. To illustrate this theme further, we will explain how both the Floer and orbifold theories can be enriched by introducing a flat U(1)-gerbe. Such a gerbe on a manifold (or orbifold) induces flat line bundles on its loop space and on its inertia stack, leading to Floer and orbifold cohomology theories with local coefficients. We will again argue that these two theories correspond. To explain all of this properly, an extended digression on the basic definitions and properties of gerbes is needed; it comprises the second of the three lectures." @default.
- W110675718 created "2016-06-24" @default.
- W110675718 creator A5033780845 @default.
- W110675718 date "2008-01-01" @default.
- W110675718 modified "2023-09-25" @default.
- W110675718 title "Floer Cohomology with Gerbes" @default.
- W110675718 cites W2157665758 @default.
- W110675718 cites W631147175 @default.
- W110675718 cites W3103324632 @default.
- W110675718 doi "https://doi.org/10.1007/978-3-540-79814-9_3" @default.
- W110675718 hasPublicationYear "2008" @default.
- W110675718 type Work @default.
- W110675718 sameAs 110675718 @default.
- W110675718 citedByCount "0" @default.
- W110675718 crossrefType "book-chapter" @default.
- W110675718 hasAuthorship W110675718A5033780845 @default.
- W110675718 hasConcept C136119220 @default.
- W110675718 hasConcept C136660716 @default.
- W110675718 hasConcept C143782950 @default.
- W110675718 hasConcept C168619227 @default.
- W110675718 hasConcept C202444582 @default.
- W110675718 hasConcept C2779185822 @default.
- W110675718 hasConcept C33923547 @default.
- W110675718 hasConcept C37914503 @default.
- W110675718 hasConcept C45442697 @default.
- W110675718 hasConcept C49987212 @default.
- W110675718 hasConcept C68365058 @default.
- W110675718 hasConcept C72738302 @default.
- W110675718 hasConcept C78606066 @default.
- W110675718 hasConcept C84254916 @default.
- W110675718 hasConceptScore W110675718C136119220 @default.
- W110675718 hasConceptScore W110675718C136660716 @default.
- W110675718 hasConceptScore W110675718C143782950 @default.
- W110675718 hasConceptScore W110675718C168619227 @default.
- W110675718 hasConceptScore W110675718C202444582 @default.
- W110675718 hasConceptScore W110675718C2779185822 @default.
- W110675718 hasConceptScore W110675718C33923547 @default.
- W110675718 hasConceptScore W110675718C37914503 @default.
- W110675718 hasConceptScore W110675718C45442697 @default.
- W110675718 hasConceptScore W110675718C49987212 @default.
- W110675718 hasConceptScore W110675718C68365058 @default.
- W110675718 hasConceptScore W110675718C72738302 @default.
- W110675718 hasConceptScore W110675718C78606066 @default.
- W110675718 hasConceptScore W110675718C84254916 @default.
- W110675718 hasLocation W1106757181 @default.
- W110675718 hasOpenAccess W110675718 @default.
- W110675718 hasPrimaryLocation W1106757181 @default.
- W110675718 hasRelatedWork W1978898788 @default.
- W110675718 hasRelatedWork W2028162442 @default.
- W110675718 hasRelatedWork W2044575669 @default.
- W110675718 hasRelatedWork W2047139002 @default.
- W110675718 hasRelatedWork W2086197741 @default.
- W110675718 hasRelatedWork W2087454512 @default.
- W110675718 hasRelatedWork W2132783014 @default.
- W110675718 hasRelatedWork W2141793174 @default.
- W110675718 hasRelatedWork W2963293829 @default.
- W110675718 hasRelatedWork W776536739 @default.
- W110675718 isParatext "false" @default.
- W110675718 isRetracted "false" @default.
- W110675718 magId "110675718" @default.
- W110675718 workType "book-chapter" @default.