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Publication Date:
October 2010
ISSN:
1435-5345
DOI:
10.1515/crelle.2010.091

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Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Frobenius manifolds, projective special geometry and Hitchin systems

1Lehrstuhl für Mathematik VI, Universität Mannheim, Seminargebäude A 5, 6, 68131 Mannheim, Germany. e-mail: hertling@math.uni-mannheim.de

2Mathematisch Instituut, Universiteit Utrecht, P.O. Box 80.010, 3508 TA, Utrecht, The Netherlands. e-mail: L.K.Hoevenaars@uu.nl

3Korteweg-de Vries institute for mathematics, University of Amsterdam, P.O. Box 94248, 1090 GE, Amsterdam, The Netherlands. e-mail: H.B.Posthuma@uva.nl

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2010, Issue 649, Pages 117–165, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2010.091, October 2010

Publication History:
Received:
2009-06-11
Published Online:
2010-10-19

Abstract

We consider the construction of Frobenius manifolds associated to projective special geometry and analyse the dependence on choices involved. In particular, we prove that the underlying F-manifold is canonical. We then apply this construction to integrable systems of Hitchin type.

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