Timeline for Spin-c Structures with Near-Symplectic Forms
Current License: CC BY-SA 3.0
4 events
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Nov 4, 2012 at 17:15 | comment | added | Chris Gerig | You've actually cleared up all questions I (implicitly) had! At first I was thinking if when all the components of $Z$ were null-homologous then perhaps their is a canonical spin-c structure on $X$, somehow by considering the 'minimal surfaces' in $H_2(X,Z)$ with the components as boundary. | |
Nov 4, 2012 at 17:09 | vote | accept | Chris Gerig | ||
Nov 3, 2012 at 15:01 | comment | added | Tim Perutz | Rereading your question, perhaps what you're asking for a canonical spin-c structure on $X$. If so, it's not going to come in any natural way from the near-symplectic structure (unless you deform it to a symplectic structure). | |
Nov 3, 2012 at 14:56 | history | answered | Tim Perutz | CC BY-SA 3.0 |