Frobenius Manifolds: Quantum Cohomology and Singularities (Aspects of Mathematics)

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9783322802385: Frobenius Manifolds: Quantum Cohomology and Singularities (Aspects of Mathematics)
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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.

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The State of the Art in the Theory of Frobenius Manifolds

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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.

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Book Description Vieweg+Teubner Verlag. Paperback. Condition: New. 378 pages. Dimensions: 9.5in. x 6.7in. x 0.9in.Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas since the early 90s. 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783322802385

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Book Description Springer Fachmedien Wiesbaden, Germany, 2012. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Softcover reprint of the original 1st ed. 2004. Seller Inventory # AAV9783322802385

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