Publications [#287254] of Richard Hain

Papers Published

1. Hain, RM, The de rham homotopy theory of complex algebraic varieties I, K-Theory, vol. 1 no. 3 (1987), pp. 271-324, ISSN 0920-3036 [doi]
   (last updated on 2025/04/05)

   Abstract:
   In this paper we use Chen's iterated integrals to put a mixed Hodge structure on the homotopy Lie algebra of an arbitrary complex algebraic variety, generalizing work of Deligne and Morgan. Similar techniques are used to put a mixed Hodge structure on other topological invariants associated with varieties that are accessible to rational homotopy theory such as the cohomology of the free loopspace of a simply connected variety. © 1987 D. Reidel Publishing Company.