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Homotopy theory, homological algebra, algebraic treatments of manifolds.

7 votes
3 answers
311 views

Eilenberg-Zilber-type theorem for good fiber products?

My question is: If $p\colon X \to B$, $q\colon Y \to B$ are proper submersions, is there a characterization of $H_*(X \times_B Y)$ in terms of $H_*(X)$, $H_*(Y)$, $H_*(B)$ that is simpler than the …
Nathaniel Bottman's user avatar
8 votes
1 answer
478 views

Can the Hochschild cochain complex be given the structure of a "homotopy BV algebra"?

In a 1993 letter, Deligne posed the following (paraphrased from a paper of Gerstenhaber and Voronov's): Conjecture (Deligne). The Hochschild cochain complex $CC^*(A)$ of an associative algebr …
Nathaniel Bottman's user avatar