Timeline for Applications of topological chiral homology and factorization algebras (aka higher Hochschild cohomology)
Current License: CC BY-SA 3.0
11 events
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| Mar 28, 2021 at 6:11 | history | edited | Martin Sleziak |
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| Mar 10, 2014 at 22:41 | comment | added | Hiro Lee Tanaka | Hi Jacob. I just wanted to point out there are examples that we do include in that paper: free E_n algebras (configuration spaces), non-abelian Poincare duality (a generalization of usual Poincare duality), Hochschild homology with coefficients in various modules, and intersection homology (in the stratified case). As Dylan mentions, these are the most computable ones on a first pass, but for a young theory, I think that's a pretty good list of examples! And people are working on more detailed examples, so let's see what happens. | |
| Mar 30, 2013 at 19:33 | vote | accept | Jacob Bell | ||
| Mar 16, 2013 at 18:17 | answer | added | David Ben-Zvi | timeline score: 14 | |
| Mar 16, 2013 at 14:31 | comment | added | Dylan Wilson | Also here is a really cool talk by Jacob Lurie that hints at a use of factorization homology towards the end to obtain something really neat in number theory: cornell.edu/video/?videoID=2099 | |
| Mar 16, 2013 at 14:30 | comment | added | Dylan Wilson | I know what you mean... Part of it is that this is so general that many computable examples are actually just dressed up versions of classical calculations (e.g. integrating over $S^1$ is the same as some version of Hochschild cohomology). But I think this is exciting: it means there's a lot to do! | |
| Mar 16, 2013 at 14:25 | answer | added | Dmitri Pavlov | timeline score: 4 | |
| Mar 16, 2013 at 10:08 | comment | added | Jacob Bell | thank dylan for the links, although they truly fly way above my head. but they aren't too big on examples, now are they? :P | |
| Mar 16, 2013 at 4:01 | comment | added | Dylan Wilson | (and John's other papers... like this one, joint with Hiro Tanaka and David Ayala: math.northwestern.edu/~jnkf/writ/singular-factorization.pdf ) | |
| Mar 16, 2013 at 4:00 | comment | added | Dylan Wilson | Here's a good start: math.northwestern.edu/~jnkf/writ/cotangentcomplex.pdf | |
| Mar 15, 2013 at 18:03 | history | asked | Jacob Bell | CC BY-SA 3.0 |