Frobenius manifolds, projective special geometry and Hitchin systems

C. Hertling; L.K. Hoevenaars; H.B. Posthuma

doi:10.1515/CRELLE.2010.091

Frobenius manifolds, projective special geometry and Hitchin systems

C. Hertling, L.K. Hoevenaars, H.B. Posthuma

extern

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	117-165
Number of pages	49
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	649
DOIs	https://doi.org/10.1515/CRELLE.2010.091
Publication status	Published - 2010

Access to Document

10.1515/CRELLE.2010.091

Crelle
Open Access (free)
Final published version, 442 KB

Cite this

@article{665a5bfa64434858ab2aa9da7da8d778,

title = "Frobenius manifolds, projective special geometry and Hitchin systems",

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.",

author = "C. Hertling and L.K. Hoevenaars and H.B. Posthuma",

year = "2010",

doi = "10.1515/CRELLE.2010.091",

language = "English",

volume = "649",

pages = "117--165",

journal = "Journal fur die Reine und Angewandte Mathematik",

issn = "0075-4102",

publisher = "Walter de Gruyter GmbH",

}

TY - JOUR

T1 - Frobenius manifolds, projective special geometry and Hitchin systems

AU - Hertling, C.

AU - Hoevenaars, L.K.

AU - Posthuma, H.B.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

U2 - 10.1515/CRELLE.2010.091

DO - 10.1515/CRELLE.2010.091

M3 - Article

SN - 0075-4102

VL - 649

SP - 117

EP - 165

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

ER -

Frobenius manifolds, projective special geometry and Hitchin systems

Abstract

Access to Document

Fingerprint

Cite this