Proves Gamma conjecture II for del Pezzo surfaces by establishing a global Gamma-I property that propagates from one (SR) point and relating it to non-semisimple cases.
Gamma conjecture I for flag varieties
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We prove Gamma conjecture I for all flag varieties by following a strategy proposed by Galkin and Iritani. The main new ingredient is showing that the totally positive part of the Rietsch mirror is mirror to the $\widehat{\Gamma}$-class and contains the critical point of the superpotential that corresponds to the Perron-Frobenius eigenvalue on the A-side.
fields
math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Modified hypergeometric series respect the exponential concentration property, implying the same for quantum periods of Fano manifolds admitting convenient weak Landau-Ginzburg models with non-negative coefficients.
citing papers explorer
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Gamma conjecture II via global Gamma-I
Proves Gamma conjecture II for del Pezzo surfaces by establishing a global Gamma-I property that propagates from one (SR) point and relating it to non-semisimple cases.
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Exponential concentration for quantum periods via mirror symmetry
Modified hypergeometric series respect the exponential concentration property, implying the same for quantum periods of Fano manifolds admitting convenient weak Landau-Ginzburg models with non-negative coefficients.