By Kollar J., Lazarsfeld R., Morrison D. (eds.)
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Extra resources for Algebraic Geometry Santa Cruz 1995, Part 1
Huebschmann seen as invariants of certain A∞ -structures. An elementary example arises from the familiar Borromean rings, consisting of three circles which are pairwise unlinked but all together are linked. The name “Borromean” derives from their appearance in the coat of arms of the house of the aristocratic Borromean family in northern Italy. If we regard these rings as situated in the 3-sphere, then the cohomology ring of the complement is a trivial algebra, but there is a Massey product of three variables detecting the simultaneous linking of all three circles.
Math. : Deformation theory of abelian categories. Trans. Am. Math. Soc. : A Hochschild cohomology comparison theorem for prestacks. Trans. Amer. Math. Soc. : Elementary parabolic twist. J. Algebra Appl. : Intrinsic brackets and the L∞ -deformation theory of bialgebras. : Cohomology of Drinfeld algebras: a homological algebra approach. Int. Math. Res. Not. : Homologies associated with Poisson structures. Deformation theory and symplectic geometry (Ascona, 1996). Math. Phys. Stud. vol. 20, pp. 177–199.
Sometimes Jim answers an e-mail message of mine in Yiddish – apparently his grandfather spoke Yiddish to his father. There is no standard Yiddish spelling and, when I receive such a message, to uncover it, I must read it aloud myself to understand the meaning, for example “OY VEH” which, in standard German spelling would be “Oh Weh”. I feel honored by the privilege to have been invited to deliver this tribute talk. I would like to make a few remarks related to Murray Gerstenhaber. I met Murray some 20 years ago when I spent some time at the Institute in Princeton.