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INFINITESIMAL DEFORMATIONS OF HITCHIN PAIRS AND HITCHIN MAP

E. MARTINENGO

Institut für Mathematik und Informatik, Freie Universität, Arnimallee 3, 14195 Berlin, Germany

https://doi.org/10.1142/S0129167X1250053XCited by:4 (Source: Crossref)

Abstract

We identify dglas that control infinitesimal deformations of the pairs (manifold, Higgs bundle) and of Hitchin pairs. As a consequence, we recover known descriptions of first order deformations and we refine known results on obstructions. Secondly we prove that the Hitchin map is induced by a natural L_∞-morphism and, by standard facts about L_∞-algebras, we obtain new conditions on obstructions to deform Hitchin pairs.

Keywords:

AMSC: 17B70, 14D15, 14D20

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