Timeline for A-infinity tensor categories
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 7, 2011 at 3:44 | answer | added | David Ben-Zvi | timeline score: 5 | |
| Jan 7, 2011 at 2:40 | answer | added | Kevin Walker | timeline score: 6 | |
| Dec 16, 2010 at 23:07 | comment | added | Kim Morrison | You might also look at my recent paper arxiv.org/abs/1009.5025 with Kevin Walker, which has a definition for an $A_\infty$ n-category. | |
| Dec 2, 2010 at 9:39 | comment | added | Bugs Bunny | Are you after higher homotopy on compoistions or tensor products or, God forbids, both? | |
| Dec 2, 2010 at 2:44 | comment | added | Chris Schommer-Pries | "Presumably it should be, I would guess, something like a functor $\otimes: C \times C \to C$ for which the coherence conditions hold up to coherent homotopy". How is this different from a definition which uses the word "$\infty$-category"? | |
| Dec 1, 2010 at 22:16 | comment | added | Kevin H. Lin | I have wondered about this also. A definition of monoidal dg category would be nice also. I would like a plain-and-simple definition that doesn't use words like "$\infty$-category". Presumably it should be, I would guess, something like a functor $\otimes : C \times C \to C$ for which the coherence conditions hold up to coherent homotopy... | |
| Dec 1, 2010 at 21:23 | comment | added | Chris Brav | There is the notion of monoidal $\infty$-category, which can be found in Lurie's DAG II. $A_{\infty}$-categories are something like $\infty$-categories tensored and enriched over the $\infty$-category of modules over the Eilenberg-Maclane spectrum of your ground field. I'm not sure what compatibilities you consider between the monoidal and linear structures, though. | |
| Dec 1, 2010 at 20:47 | history | asked | Marc Nieper-Wißkirchen | CC BY-SA 2.5 |