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Degree zero coefficients in the self-intersection of a point in the quantum cohomology of a twisted flag manifold: a(n) is the coefficient of q^(3*A+ n*B) where A and B are the generators of the effective cone with first Chern number 2 and 0, respectively.
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%I #20 Feb 12 2026 17:21:43

%S 0,0,1,-5,35,-273,2244,-19019

%N Degree zero coefficients in the self-intersection of a point in the quantum cohomology of a twisted flag manifold: a(n) is the coefficient of q^(3*A+ n*B) where A and B are the generators of the effective cone with first Chern number 2 and 0, respectively.

%C Computing the next term using the localization formula gets harder exponentially. So very few terms are currently known.

%H D. Holmes and G. Muratore, <a href="https://arxiv.org/abs/2509.07562">Computations in equivariant Gromov-Witten theory of GKM spaces</a>, arXiv:2509.07562 [math.AG], 2025. See Section 5.2 and Theorem 5.14.

%H First terms computed using <a href="https://mgemath.github.io/GKMtools.jl/stable/Article/Twisted_flag/">GKMtools.jl</a>.

%K sign,hard,more

%O 0,4

%A _Giosuè Muratore_, Sep 16 2025