Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36) - Image 1

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Vieweg+Teubner Verlag Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)

Name: Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)
Brand: Vieweg+Teubner Verlag
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Geometry & Topology

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Product Description Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas since the early 90's. An activity was organized at the Max-Planck-Institute for Mathematics in Bonn, with the purpose of bringing together the main experts in these areas. This volume originates from this activity and presents the state of the art in the subject. Book Description The State of the Art in the Theory of Frobenius Manifolds From the Back Cover Frobenius manifolds are complex manifolds with a multiplication and a metric on the holomorphic tangent bundle, which satisfy several natural conditions. This notion was defined in 1991 by Dubrovin, motivated by physics results. Another source of Frobenius manifolds is singularity theory. Duality between string theories lies behind the phenomenon of mirror symmetry. One mathematical formulation can be given in terms of the isomorphism of certain Frobenius manifolds. A third source of Frobenius manifolds is given by integrable systems, more precisely, bihamiltonian hierarchies of evolutionary PDE's. As in the case of quantum cohomology, here Frobenius manifolds are part of an a priori much richer structure, which, because of strong constraints, can be determined implicitly by the underlying Frobenius manifolds. Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas since the early 90's. An activity was organized at the Max-Planck-Institute for Mathematics in 2002, with the purpose of bringing together the main experts in these areas. This volume originates from this activity and presents the state of the art in the subject. About the Author Prof. Dr. Claus Hertling, Institut für Mathematik, Universität Mannheim, Germany Prof. Dr. Matilde Marcolli, Max-Planck-Institute for Mathematics, Bonn, Germany

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Brand: Vieweg+Teubner Verlag
Format: paperback
ASIN: 3322802388
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 10 January 2012
Listed Since: 13 July 2012

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Vieweg+Teubner Verlag Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)

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