Timeline for Characteristic classes for odd $K$-theory
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 20, 2016 at 15:44 | history | bounty ended | Sebastian Goette | ||
| May 20, 2016 at 9:53 | comment | added | Bo Liu | @sebastian-goette Sorry that I made a mistake. The transformation in Melrose-Piazza's paper is the relation to the definition of $K^1$ group in Atiyah's paper: Index theory for skew-adjoint Fredholm operators, not the Cayley transform. I don't know the relation to the Cayley transform. Maybe there is something in Quillen's article: Superconnection character forms and the Cayley transform. But I haven't read this. | |
| May 19, 2016 at 20:43 | comment | added | Sebastian Goette | Thanks for the nice list of references. The equation $\operatorname{ind}(D^W_{S^1})=[u]\in K^1(X)$ is already pretty close to what I am looking for. But is there a nice relation to the Cayley transform? The transformation in Melrose-Piazza's article seems to be something different. | |
| May 19, 2016 at 16:59 | history | answered | Bo Liu | CC BY-SA 3.0 |