From the 1 of 10 linked papers with an AI index.
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On the Betti numbers, Poincaré polynomials, and Euler characteristics of
Giordano Cotti
The paper provides elementary derivations of known formulas for the Poincaré polynomials, Betti numbers, and Euler characteristics of the Deligne‑Mumford moduli spaces of stable n‑…
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…
Borel -multitransforms and Quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for -bundles
Giordano Cotti
In this paper, we address the integration problem of the isomonodromic system of quantum differential equations (s) associated with the quantum cohomology of -bun…
On the universality of integrable deformations of solutions of degenerate Riemann-Hilbert-Birkhoff problems
Giordano Cotti
This paper addresses the classification problem of integrable deformations of solutions of "degenerate" Riemann-Hilbert-Birkhoff (RHB) problems. These consist of those RHB problems…
Riemann-Hilbert-Birkhoff inverse problem for semisimple flat -manifolds, and convergence of oriented associativity potentials
Giordano Cotti
In this paper, we address the problem of classification of quasi-homogeneous formal power series providing solutions of the oriented associativity equations. Such a classification…