8 papers · 1 filter
On the Betti numbers, Poincaré polynomials, and Euler characteristics of
Giordano Cotti
In this paper, we revisit the Poincaré polynomials, Betti numbers, and Euler characteristics of the Deligne-Mumford moduli spaces of stable -pointe…
Fiberwise Gromov-Witten theory, quantum spectra of flag bundles, and prime factorization of integers
Giordano Cotti
This work investigates the vertical quantum cohomology and quantum spectra of flag bundles, uncovering new links between the Gromov-Witten theory of homogeneous fibrations and anal…
Generalized Mittag-Leffler functions, Borel-Laplace multitransforms, and quantum differential equations of Fano varieties
Giordano Cotti
This paper addresses the integration problem for the isomonodromic system of quantum differential equations associated with smooth projective Fano varieties. We begin by introducin…
On the Satake correspondence for the equivariant quantum differential equations and qKZ difference equations of Grassmannians
Giordano Cotti, Alexander Varchenko
We consider the joint system of equivariant quantum differential equations (qDE) and qKZ difference equations for the Grassmannian , which parametrizes -dimensional subs…
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…