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Publications [#287254] of Richard Hain
search www.ams.org.Papers Published
 Hain, RM, The de rham homotopy theory of complex algebraic varieties I,
KTheory, vol. 1 no. 3
(1987),
pp. 271324, ISSN 09203036 [doi]
(last updated on 2019/03/25)
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.


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