The de rham homotopy theory of complex algebraic varieties I
Publication
, Journal Article
Hain, RM
Published in: K-Theory
1987
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.
Duke Scholars
Published In
K-Theory
DOI
ISSN
0920-3036
Publication Date
1987
Volume
1
Issue
3
Start / End Page
271 / 324
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Hain, R. M. (1987). The de rham homotopy theory of complex algebraic varieties I. K-Theory, 1(3), 271–324. https://doi.org/10.1007/BF00533825
Hain, R. M. “The de rham homotopy theory of complex algebraic varieties I.” K-Theory 1, no. 3 (1987): 271–324. https://doi.org/10.1007/BF00533825.
Hain RM. The de rham homotopy theory of complex algebraic varieties I. K-Theory. 1987;1(3):271–324.
Hain, R. M. “The de rham homotopy theory of complex algebraic varieties I.” K-Theory, vol. 1, no. 3, 1987, pp. 271–324. Scival, doi:10.1007/BF00533825.
Hain RM. The de rham homotopy theory of complex algebraic varieties I. K-Theory. 1987;1(3):271–324.
Published In
K-Theory
DOI
ISSN
0920-3036
Publication Date
1987
Volume
1
Issue
3
Start / End Page
271 / 324
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics