Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100833719> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W3100833719 endingPage "45" @default.
- W3100833719 startingPage "1" @default.
- W3100833719 abstract "Every oriented 4-manifold admits a folded symplectic structure, which in turn determines a homotopy class of compatible almost complex structures that are discontinuous across the folding hypersurface (fold) in a controlled fashion. We define folded holomorphic maps, i.e. pseudo-holomorphic maps that are discontinuous across the fold. The boundary values on the fold are mediated by tunneling maps which are punctured H-holomorphic maps into the folding hypersurface with prescribed asymptotics on closed characteristics. Our main result is that the linearized operator of this boundary value problem is Fredholm and thus we obtain well behaved local finite dimensional moduli spaces. As examples we characterize the moduli space of maps into folded elliptic fibration and we construct examples of degree $d$ rational maps into $S^4$. Moreover we explicitly give the moduli space of degree 1 rational maps into $S^4$ and show that it possesses a natural compactification. This aims to generalize the tools of holomorphic maps to all oriented 4-manifolds by utilizing folded symplectic structures." @default.
- W3100833719 created "2020-11-23" @default.
- W3100833719 creator A5077616962 @default.
- W3100833719 date "2007-02-23" @default.
- W3100833719 modified "2023-10-04" @default.
- W3100833719 title "Pseudoholomorphic maps into folded symplectic four-manifolds" @default.
- W3100833719 cites W1572654204 @default.
- W3100833719 cites W1608407908 @default.
- W3100833719 cites W1993020613 @default.
- W3100833719 cites W2003399271 @default.
- W3100833719 cites W2009068356 @default.
- W3100833719 cites W2027025011 @default.
- W3100833719 cites W2052871565 @default.
- W3100833719 cites W2102823527 @default.
- W3100833719 cites W2110400171 @default.
- W3100833719 cites W2145145842 @default.
- W3100833719 cites W2147369136 @default.
- W3100833719 cites W2152925048 @default.
- W3100833719 cites W2154417895 @default.
- W3100833719 cites W2326302425 @default.
- W3100833719 cites W3105348649 @default.
- W3100833719 cites W3121984524 @default.
- W3100833719 cites W4252350177 @default.
- W3100833719 cites W4299611468 @default.
- W3100833719 cites W74147377 @default.
- W3100833719 cites W2963110919 @default.
- W3100833719 doi "https://doi.org/10.2140/gt.2007.11.1" @default.
- W3100833719 hasPublicationYear "2007" @default.
- W3100833719 type Work @default.
- W3100833719 sameAs 3100833719 @default.
- W3100833719 citedByCount "1" @default.
- W3100833719 crossrefType "journal-article" @default.
- W3100833719 hasAuthorship W3100833719A5077616962 @default.
- W3100833719 hasBestOaLocation W31008337191 @default.
- W3100833719 hasConcept C114410712 @default.
- W3100833719 hasConcept C130190758 @default.
- W3100833719 hasConcept C134306372 @default.
- W3100833719 hasConcept C135661100 @default.
- W3100833719 hasConcept C168619227 @default.
- W3100833719 hasConcept C202444582 @default.
- W3100833719 hasConcept C204575570 @default.
- W3100833719 hasConcept C2779165322 @default.
- W3100833719 hasConcept C33923547 @default.
- W3100833719 hasConcept C54486226 @default.
- W3100833719 hasConcept C5961521 @default.
- W3100833719 hasConcept C73373263 @default.
- W3100833719 hasConceptScore W3100833719C114410712 @default.
- W3100833719 hasConceptScore W3100833719C130190758 @default.
- W3100833719 hasConceptScore W3100833719C134306372 @default.
- W3100833719 hasConceptScore W3100833719C135661100 @default.
- W3100833719 hasConceptScore W3100833719C168619227 @default.
- W3100833719 hasConceptScore W3100833719C202444582 @default.
- W3100833719 hasConceptScore W3100833719C204575570 @default.
- W3100833719 hasConceptScore W3100833719C2779165322 @default.
- W3100833719 hasConceptScore W3100833719C33923547 @default.
- W3100833719 hasConceptScore W3100833719C54486226 @default.
- W3100833719 hasConceptScore W3100833719C5961521 @default.
- W3100833719 hasConceptScore W3100833719C73373263 @default.
- W3100833719 hasIssue "1" @default.
- W3100833719 hasLocation W31008337191 @default.
- W3100833719 hasLocation W31008337192 @default.
- W3100833719 hasOpenAccess W3100833719 @default.
- W3100833719 hasPrimaryLocation W31008337191 @default.
- W3100833719 hasRelatedWork W1969000632 @default.
- W3100833719 hasRelatedWork W2185050371 @default.
- W3100833719 hasRelatedWork W2200803619 @default.
- W3100833719 hasRelatedWork W2925212764 @default.
- W3100833719 hasRelatedWork W2950363899 @default.
- W3100833719 hasRelatedWork W3100833719 @default.
- W3100833719 hasRelatedWork W3216590977 @default.
- W3100833719 hasRelatedWork W4213405538 @default.
- W3100833719 hasRelatedWork W4226208640 @default.
- W3100833719 hasRelatedWork W4299511244 @default.
- W3100833719 hasVolume "11" @default.
- W3100833719 isParatext "false" @default.
- W3100833719 isRetracted "false" @default.
- W3100833719 magId "3100833719" @default.
- W3100833719 workType "article" @default.