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Local moduli of semisimple Frobenius coalescent structures

Show simple item record Cotti, Giordano Dubrovin, Boris Guzzetti, Davide 2018-01-16T11:11:03Z 2018-01-16T11:11:03Z 2018-01
dc.description.abstract There is a conjectural relation, formulated by the second author, between the enumerative geometry of a wide class of smooth projective varieties and their derived category of coherent sheaves. In particular, there is an increasing interest for an explicit description of certain local invariants, called monodromy data, of semisimple quantum cohomologies in terms of characteristic classes of exceptional collections in the derived categories. Being intentioned to address this problem, which, to our opinion, is still not well understood, we have realized that some issues in the theory of Frobenius manifolds need to be preliminarily clarified, and that an extension of the theory itself is necessary, in view of the fact that quantum cohomologies of certain classes of homogeneous spaces may show a coalescence phenomenon. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries arXiv;1712.08575
dc.subject Frobenius manifolds en_US
dc.subject Quantum cohomology en_US
dc.title Local moduli of semisimple Frobenius coalescent structures en_US
dc.type Preprint en_US
dc.subject.miur MAT/03 en_US
dc.subject.miur MAT/07 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US

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