Timeline for Homotopy equivalence of curved A_\infty algebra
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 27, 2013 at 12:43 | comment | added | Daniel Pomerleano | The notion is considered here for instance math.northwestern.edu/~getzler/Papers/cyclic2.pdf, though HH^* invariants are not defined for these gadgets. | |
| Sep 27, 2013 at 6:12 | comment | added | Jay | Greal, thank a lot! By the way, do you have any reference about the curvature strictly central case? | |
| Sep 26, 2013 at 13:23 | comment | added | Daniel Pomerleano | P.S. I just found this earlier answer, mathoverflow.net/questions/86821/… which says some of the stuff above in more detail. | |
| Sep 26, 2013 at 12:18 | comment | added | Daniel Pomerleano | I should add that, if one wants to consider the first case, one also wants to also take into account the topological structure when defining $HH^*$ of such curved $A_\infty$ algebras and morphisms of these algebras etc. The theory becomes essentially that of deformation theory of uncurved $A_\infty$ algebras. | |
| Sep 26, 2013 at 11:56 | comment | added | Daniel Pomerleano | As far as I am aware a good notion only exists when you make some restriction... e.g. consider curved $A_{\infty}$ algebras over $C[[t]]$ and consider curvatures which vanish modulo $t$ or consider a curvature $W$ which is strictly central ... the general theory of curved $A_{\infty}$ algebra is very badly behaved... | |
| Sep 26, 2013 at 5:52 | history | asked | Jay | CC BY-SA 3.0 |