4 papers
The -Markov equation for Laurent polynomials
Giordano Cotti, Alexander Varchenko
We consider the -Markov equation for the symmetric Laurent polynomials in three variables with integer coefficients, which is an equivariant analog of the classical Markov equat…
Quantum differential equations and helices
Giordano Cotti
These notes partly touch the topic of the talk given by the author at the XXXVIII Workshop on Geometric Methods in Physics, hold in June-July 2019 in Białowieża, Poland. They consi…
Equivariant quantum differential equation and equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem
Giordano Cotti, Alexander Varchenko
In arXiv:1901.02990v1 the equivariant quantum differential equation () for a projective space was considered and a compatible system of difference equations was introduc…
Helix Structures in Quantum Cohomology of Fano Varieties
Giordano Cotti, Boris Dubrovin, Davide Guzzetti
In this paper we consider a conjecture formulated by the second author in occasion of the 1998 ICM in Berlin (arXiv:math/9807034v2). This conjecture states the equivalence, for a F…