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Iritani, Quantum cohomology of blowups, preprint at arXiv:2307.13555v3

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it

years

2026 4

verdicts

UNVERDICTED 4

representative citing papers

Gamma conjecture II via global Gamma-I

math.AG · 2026-06-05 · unverdicted · novelty 7.0

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.

The quartic threefold is symplectically irrational

math.SG · 2026-05-27 · unverdicted · novelty 7.0

Smooth quartic threefolds are symplectically irrational, shown via an obstruction from big quantum cohomology eigenvalue multiplicities that is invariant under symplectic operations.

Naive atoms of blowups: examples

math.AG · 2026-06-16 · unverdicted · novelty 6.0

Defines naive atomic decompositions and checks a naive version of Iritani's blowup formula in computable examples.

Notes on the decomposition theorem for blowups

math.AG · 2026-04-11 · unverdicted · novelty 3.0

This paper examines arithmetic and Hodge-theoretic properties of isomorphisms from the decomposition theorem in quantum cohomology of blowups to underpin rationality studies.

citing papers explorer

Showing 4 of 4 citing papers.

  • Gamma conjecture II via global Gamma-I math.AG · 2026-06-05 · unverdicted · none · ref 30

    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.

  • The quartic threefold is symplectically irrational math.SG · 2026-05-27 · unverdicted · none · ref 19

    Smooth quartic threefolds are symplectically irrational, shown via an obstruction from big quantum cohomology eigenvalue multiplicities that is invariant under symplectic operations.

  • Naive atoms of blowups: examples math.AG · 2026-06-16 · unverdicted · none · ref 22

    Defines naive atomic decompositions and checks a naive version of Iritani's blowup formula in computable examples.

  • Notes on the decomposition theorem for blowups math.AG · 2026-04-11 · unverdicted · none · ref 4

    This paper examines arithmetic and Hodge-theoretic properties of isomorphisms from the decomposition theorem in quantum cohomology of blowups to underpin rationality studies.