Matches in SemOpenAlex for { <https://semopenalex.org/work/W2040429815> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2040429815 endingPage "1651" @default.
- W2040429815 startingPage "1557" @default.
- W2040429815 abstract "We give formulae for the Ozsvath-Szabo invariants of 4-manifolds X obtained by fiber sum of two manifolds M_1, M_2 along surfaces S_1, S_2 having trivial normal bundle and genus g>0. The formulae follow from a general theorem on the Ozsvath-Szabo invariants of the result of gluing two 4-manifolds along a common boundary, which is phrased in terms of relative invariants of the pieces. These relative invariants take values in a version of Heegaard Floer homology with coefficients in modules over certain Novikov rings; the fiber sum formula follows from the theorem that this perturbed version of Heegaard Floer theory recovers the usual Ozsvath-Szabo invariants, when the 4-manifold in question has b^+>1. The construction allows an extension of the definition of the Ozsvath-Szabo invariants to 4-manifolds having b^+ = 1 depending on certain choices, in close analogy with Seiberg-Witten theory. The product formulae lead quickly to calculations of the Ozsvath-Szabo invariants of various 4-manifolds; in all cases the results are in accord with the conjectured equivalence between the Ozsvath-Szabo and Seiberg-Witten invariants." @default.
- W2040429815 created "2016-06-24" @default.
- W2040429815 creator A5050038680 @default.
- W2040429815 creator A5067376581 @default.
- W2040429815 date "2008-06-19" @default.
- W2040429815 modified "2023-09-24" @default.
- W2040429815 title "Product formulae for Ozsváth–Szabó 4–manifold invariants" @default.
- W2040429815 cites W1491467571 @default.
- W2040429815 cites W1534880334 @default.
- W2040429815 cites W1605482702 @default.
- W2040429815 cites W1606470515 @default.
- W2040429815 cites W1964009156 @default.
- W2040429815 cites W1973147666 @default.
- W2040429815 cites W1975038719 @default.
- W2040429815 cites W1975428572 @default.
- W2040429815 cites W1997472331 @default.
- W2040429815 cites W2029255895 @default.
- W2040429815 cites W2032446756 @default.
- W2040429815 cites W2053508424 @default.
- W2040429815 cites W2062968141 @default.
- W2040429815 cites W2071586926 @default.
- W2040429815 cites W2084728833 @default.
- W2040429815 cites W2128674623 @default.
- W2040429815 cites W2134155718 @default.
- W2040429815 cites W3100233699 @default.
- W2040429815 cites W4249549360 @default.
- W2040429815 doi "https://doi.org/10.2140/gt.2008.12.1557" @default.
- W2040429815 hasPublicationYear "2008" @default.
- W2040429815 type Work @default.
- W2040429815 sameAs 2040429815 @default.
- W2040429815 citedByCount "22" @default.
- W2040429815 countsByYear W20404298152013 @default.
- W2040429815 countsByYear W20404298152014 @default.
- W2040429815 countsByYear W20404298152018 @default.
- W2040429815 countsByYear W20404298152020 @default.
- W2040429815 countsByYear W20404298152021 @default.
- W2040429815 countsByYear W20404298152022 @default.
- W2040429815 countsByYear W20404298152023 @default.
- W2040429815 crossrefType "journal-article" @default.
- W2040429815 hasAuthorship W2040429815A5050038680 @default.
- W2040429815 hasAuthorship W2040429815A5067376581 @default.
- W2040429815 hasBestOaLocation W20404298151 @default.
- W2040429815 hasConcept C121294916 @default.
- W2040429815 hasConcept C127413603 @default.
- W2040429815 hasConcept C146710177 @default.
- W2040429815 hasConcept C159985019 @default.
- W2040429815 hasConcept C168619227 @default.
- W2040429815 hasConcept C192562407 @default.
- W2040429815 hasConcept C202444582 @default.
- W2040429815 hasConcept C2524010 @default.
- W2040429815 hasConcept C2778134712 @default.
- W2040429815 hasConcept C2780069185 @default.
- W2040429815 hasConcept C33923547 @default.
- W2040429815 hasConcept C529865628 @default.
- W2040429815 hasConcept C78519656 @default.
- W2040429815 hasConcept C90673727 @default.
- W2040429815 hasConceptScore W2040429815C121294916 @default.
- W2040429815 hasConceptScore W2040429815C127413603 @default.
- W2040429815 hasConceptScore W2040429815C146710177 @default.
- W2040429815 hasConceptScore W2040429815C159985019 @default.
- W2040429815 hasConceptScore W2040429815C168619227 @default.
- W2040429815 hasConceptScore W2040429815C192562407 @default.
- W2040429815 hasConceptScore W2040429815C202444582 @default.
- W2040429815 hasConceptScore W2040429815C2524010 @default.
- W2040429815 hasConceptScore W2040429815C2778134712 @default.
- W2040429815 hasConceptScore W2040429815C2780069185 @default.
- W2040429815 hasConceptScore W2040429815C33923547 @default.
- W2040429815 hasConceptScore W2040429815C529865628 @default.
- W2040429815 hasConceptScore W2040429815C78519656 @default.
- W2040429815 hasConceptScore W2040429815C90673727 @default.
- W2040429815 hasIssue "3" @default.
- W2040429815 hasLocation W20404298151 @default.
- W2040429815 hasLocation W20404298152 @default.
- W2040429815 hasLocation W20404298153 @default.
- W2040429815 hasOpenAccess W2040429815 @default.
- W2040429815 hasPrimaryLocation W20404298151 @default.
- W2040429815 hasRelatedWork W1133780470 @default.
- W2040429815 hasRelatedWork W2059034874 @default.
- W2040429815 hasRelatedWork W2077517741 @default.
- W2040429815 hasRelatedWork W2528649130 @default.
- W2040429815 hasRelatedWork W2718758813 @default.
- W2040429815 hasRelatedWork W2754118506 @default.
- W2040429815 hasRelatedWork W2897214716 @default.
- W2040429815 hasRelatedWork W2964134901 @default.
- W2040429815 hasRelatedWork W2964187826 @default.
- W2040429815 hasRelatedWork W4249580765 @default.
- W2040429815 hasVolume "12" @default.
- W2040429815 isParatext "false" @default.
- W2040429815 isRetracted "false" @default.
- W2040429815 magId "2040429815" @default.
- W2040429815 workType "article" @default.