REVIEW 1 cited by
Mirror symmetry for certain blowups of Grassmannians
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We classify when the blowup of a complex Grassmannian $G(k, n)$ along a smooth Schubert subvariety $Z$ is Fano. We compute almost all the two-point, genus zero Gromov-Witten invariants of the blowup when $Z=G(k, n-1)$. We further prove a mirror symmetry statement for the blowup $X_{2, n}$ of $G(2, n)$ along $G(2, n-1)$, by introducing a toric superpotential $f_{\rm tor}$ and showing the isomorphism between the Jacobi ring of $f_{\rm tor}$ and the small quantum cohomology ring $QH^*(X_{2, n})$.
Forward citations
Cited by 1 Pith paper
-
Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$
The quantum cohomology of the smooth Schubert divisor X_{w0 s_{n-1}} in Fl_n is presented, with a quantum Chevalley formula and quantum Schubert polynomials identical to those of Fl_n.
Discussion (0). Continue with ORCID to comment.