Timeline for Progress on composition of Lagrangian correspondences/definition of symplectic categories?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 26, 2022 at 16:19 | history | bounty ended | AlexArvanitakis | ||
| Dec 26, 2022 at 16:18 | vote | accept | AlexArvanitakis | ||
| Dec 21, 2022 at 0:33 | comment | added | Jonny Evans | (Colliding seams occur whenever you try and understand Floer theory under composition of Lagrangian correspondences, whether the composition is transverse or not) | |
| Dec 21, 2022 at 0:30 | comment | added | Jonny Evans | The interesting applications I was referring to come from the construction of A_\infty functors between Fukaya categories, not the categories themselves (which do not require correspondences to set up). Colliding seams happen in Fukaya's paper, and the main idea he uses to deal with them is the "Y-end" of Lekili-Lipyanskiy: arxiv.org/abs/1003.4493 | |
| Dec 20, 2022 at 23:14 | comment | added | AlexArvanitakis | Thanks Jonny for both references. The "most interesting purposes" you mention, these are presumably the construction of the A-infinity category in Fukaya? My own interest comes from physics/string theory (although not from type A topological strings originally; the 2nd paper you linked has some suggestive images though) where the nontransversality seems to lead to fatal issues with the dynamics, which I would conjecture are analogous to issues involving "colliding seams" in the context of the pseudoholomorphic quilts described in Abouzaid and Bottman | |
| Dec 20, 2022 at 9:14 | history | edited | LSpice | CC BY-SA 4.0 |
Names of papers
|
| Dec 20, 2022 at 6:58 | history | answered | Jonny Evans | CC BY-SA 4.0 |