Timeline for Book on Hochschild (co)homology
Current License: CC BY-SA 2.5
4 events
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| Jun 18, 2010 at 1:06 | comment | added | Yemon Choi |
From the (rather niche) perspective of someone doing Hochschild cohomology of Banach algebras -- it would be nice to see a hands-on approach to Gerstenhaber-Schack's Hodge decomposition of not-necessarily-unital commutative $k$-algebras for $k\supseteq{\mathbb Q}$, which notes how it respects the usual gadgets like localization or base change. In particular, I'd quite like an explanation of why it behaves well with the Künneth formula, without needing to use simplicial resolutions by polynomial algebras (that tactic runs aground very quickly in "Banach-world")
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| Jun 17, 2010 at 21:14 | comment | added | Dev Sinha | Note: when you consider Hochschild homology of commutative algebras, you should instead pass to Harrison/Andre-Quillen homology, and there the connection to free Lie algebras (or really, cofree Lie coalgebras) is more apparent. (I don't know the analogous passage you want to make for Hochschild cohomology.) | |
| Jun 17, 2010 at 10:10 | history | edited | Charles Matthews | CC BY-SA 2.5 |
typo
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| Jun 17, 2010 at 9:48 | history | answered | darij grinberg | CC BY-SA 2.5 |