A categorification of the quantum Lefschetz principle

Kern, David

doi:10.1016/j.aim.2023.109362

Advances in Mathematics

2023

DOI: 10.1016/j.aim.2023.109362

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A categorification of the quantum Lefschetz principle

David Kern

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2024

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Quantum Lefschetz Without Curves

Oh,

Thomas

2024

International Mathematics Research Notices

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Given one quasi-smooth derived space cut out of another by a section of a 2-term complex of bundles, we give two formulae for its virtual cycle. They are modelled on the the $p$-fields construction of Chang–Li and the Quantum Lefschetz principle, and recover these when applied to moduli spaces of (stable or quasi-) maps. When the complex is a single bundle we recover the results of Kim–Kresch–Pantev.

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Quantum Lefschetz Without Curves

Oh,

Thomas

2024

International Mathematics Research Notices

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A categorification of the quantum Lefschetz principle

Cited by 1 publication

References 23 publications

Quantum Lefschetz Without Curves

Quantum Lefschetz Without Curves

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