Gromov-Witten theory via roots and logarithms
Orbifold and logarithmic structures provide independent routes to the virtual enumeration of
curves with tangency orders for a simple normal crossings pair $(X| D) $. The theories do not …
curves with tangency orders for a simple normal crossings pair $(X| D) $. The theories do not …
Quantum cohomology of blowups
H Iritani - arXiv preprint arXiv:2307.13555, 2023 - arxiv.org
arXiv:2307.13555v1 [math.AG] 25 Jul 2023 Page 1 arXiv:2307.13555v1 [math.AG] 25 Jul 2023
QUANTUM COHOMOLOGY OF BLOWUPS HIROSHI IRITANI Abstract. We prove a …
QUANTUM COHOMOLOGY OF BLOWUPS HIROSHI IRITANI Abstract. We prove a …
Gromov-Witten theory of complete intersections
We provide an inductive algorithm computing Gromov-Witten invariants in all genera with
arbitrary insertions of all smooth complete intersections in projective space. We also prove …
arbitrary insertions of all smooth complete intersections in projective space. We also prove …
Quantum cohomology of projective bundles
H Iritani, Y Koto - arXiv preprint arXiv:2307.03696, 2023 - arxiv.org
We construct an I-function of the projective bundle P (V) associated with a not necessarily
split vector bundle V\to B as a Fourier transform of the S^ 1-equivariant J-function of the total …
split vector bundle V\to B as a Fourier transform of the S^ 1-equivariant J-function of the total …
Gromov–Witten theory of complete intersections via nodal invariants
We provide an inductive algorithm computing Gromov–Witten invariants in all genera with
arbitrary insertions of all smooth complete intersections in projective space. We also prove …
arbitrary insertions of all smooth complete intersections in projective space. We also prove …
Orbifold Gromov-Witten theory of weighted blowups
B Chen, CY Du, R Wang - Science China Mathematics, 2020 - Springer
Consider a compact symplectic sub-orbifold groupoid S of a compact symplectic orbifold
groupoid (X, ω). Let X a be the weight-a blowup of X along S, and D a= PN a be the …
groupoid (X, ω). Let X a be the weight-a blowup of X along S, and D a= PN a be the …
[HTML][HTML] Borel (α, β)-multitransforms and quantum Leray–Hirsch: Integral representations of solutions of quantum differential equations for P1-bundles
G Cotti - Journal de Mathématiques Pures et Appliquées, 2024 - Elsevier
In this paper, we address the integration problem of the isomonodromic system of quantum
differential equations (qDEs) associated with the quantum cohomology of P 1-bundles on …
differential equations (qDEs) associated with the quantum cohomology of P 1-bundles on …
GROMOV-WITTEN THEORY OF COMPLETE INTERSECTIONS VIA NODAL CURVES
We provide an inductive algorithm computing Gromov-Witten invariants in all genera with
arbitrary insertions of all smooth complete intersections in projective space. We also prove …
arbitrary insertions of all smooth complete intersections in projective space. We also prove …