Timeline for Algebraic deformation invariance of Gromov-Witten invariants
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 18, 2020 at 11:21 | comment | added | Andrea Ricolfi | I am not competent enough on families of cycles to confirm the stronger statement. In particular, I am not sure about the official definition for cycles of dim > 0 (Kollár's? Rydh's?) However the reference for deformation invariance is in Fulton's "Intersection Theory", where he proves that refined Gysin homomorphisms behave well under pullback (part of bivariant intersection theory). I hope this helps. | |
| Dec 16, 2020 at 13:39 | comment | added | Philip Engel | I mean, I wouldn't say no to a reference which proves this explicitly. But I am asking for a stronger statement: Are the virtual fundamental cycles represented by a flat family (when the base is a curve)? | |
| Dec 15, 2020 at 17:09 | comment | added | Andrea Ricolfi | Are you asking for a proof/reference for deformation invariance of the GW invariants? In this case, families of cycles can be avoided: deformation invariance comes for free as a property of the (construction of the) virtual class. | |
| Dec 14, 2020 at 17:56 | history | edited | Philip Engel | CC BY-SA 4.0 |
added 341 characters in body
|
| S Dec 14, 2020 at 17:53 | history | suggested | Ali Taghavi |
I add a tag "Algebraic geometry"
|
|
| Dec 14, 2020 at 17:20 | review | Suggested edits | |||
| S Dec 14, 2020 at 17:53 | |||||
| Dec 14, 2020 at 17:14 | history | asked | Philip Engel | CC BY-SA 4.0 |