TY - RPRT
T1 - Local moduli of semisimple Frobenius coalescent structures
Y1 - 2018
A1 - Giordano Cotti
A1 - Boris Dubrovin
A1 - Davide Guzzetti
AB - 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.
PB - SISSA
UR - http://preprints.sissa.it/handle/1963/35304
U1 - 35610
U2 - Mathematics
U4 - 1
U5 - MAT/03
ER -