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Nonabelian Hodge theory. (English) Zbl 0789.58006
Greene, Robert (ed.) et al., Differential geometry. Part 2: Geometry in mathematical physics and related topics. Proceedings of a summer research institute, held at the University of California, Los Angeles, CA, USA, July 8-28, 1990. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 54, Part 2, 125-144 (1993).
In this survey-article fundamental concepts, ideas, a number of recent results (without proofs), applications and conjectures concerning nonabelian Hodge-theory are collected.
For the entire collection see [Zbl 0773.00023].

MSC:
58A14 Hodge theory in global analysis
32J25 Transcendental methods of algebraic geometry (complex-analytic aspects)
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