Timeline for Axiomatic characterization of virtual fundamental classes?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2017 at 10:43 | history | edited | John Pardon | CC BY-SA 3.0 |
added answer to first question of OP (which their edit has clarified)
|
| Dec 16, 2017 at 19:26 | comment | added | AAK | @JacobGross: It is true that given a derived moduli problem, you can ask whether it admits a cotangent complex and whether it is of tor-amplitude $[-1,0]$, in which case it would admit a virtual fundamental class. However you need first of all to extend your classical moduli problem to a derived moduli problem in a reasonable way, which may not always be trivial at all. | |
| Dec 16, 2017 at 18:49 | comment | added | user100272 | Thank you for this detailed reply. And excuse my ignorance, but I thought the condition that the derived manifold has cotangent complex concentrated in degrees $-1$ and $0$ was the correct amount of derived structure for obtaining virtual fundamental classes. | |
| Dec 12, 2017 at 22:42 | history | answered | John Pardon | CC BY-SA 3.0 |