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Pretty Good Gravity

arXiv:math/0007018

Abstract

A theory of topological gravity is a homotopy-theoretic representation of the Segal-Tillmann topologification of a two-category with cobordisms as morphisms. This note describes a relatively accessible example of such a thing, suggested by the wall-crossing formulas of Donaldson theory.

Talk at the RIMS Symposium on algebraic geometry and integrable systems related to string theory, Kyoto, June 12-16, 2000. This final version is to appear in Adv. Theoretical and Mathematical Physics