Journal article

Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting

Abstract:: Gross, Hacking and Keel have constructed mirrors of log Calabi-Yau surfaces in terms of counts of rational curves. Using q-deformed scattering diagrams defined in terms of higher-genus log Gromov-Witten invariants, we construct deformation quantizations of these mirrors and we produce canonical bases of the corresponding non-commutative algebras of functions.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Bousseau, P. (2020). Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting. Compositio Mathematica, 156(2), 360–411.

MLA Style

Bousseau, P. “Quantum Mirrors of Log Calabi–Yau Surfaces and Higher-Genus Curve Counting.” Compositio Mathematica, vol. 156, no. 2, 2020, pp. 360–411.

Chicago Style

Bousseau, P. 2020. “Quantum Mirrors of Log Calabi–Yau Surfaces and Higher-Genus Curve Counting.” Compositio Mathematica 156 (2): 360–411.
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Files:: Bousseau_2020_Quantum_mirrors_of.pdf

(Preview, Accepted manuscript, pdf, 646.0KB, Terms of use)

Publisher copy:: 10.1112/s0010437x19007760

Authors

+ Bousseau, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: St Peter's College
Role:: Author
ORCID:: 0000-0002-1303-7019

Publisher:: Cambridge University Press
Journal:: Compositio Mathematica More from this journal
Volume:: 156
Issue:: 2
Pages:: 360-411
Publication date:: 2020-01-07
Acceptance date:: 2019-09-01
DOI:: 10.1112/s0010437x19007760
EISSN:: 1570-5846
ISSN:: 0010-437X

Language:: English
Keywords:: mirror symmetry

Gromov-Witten invariants

deformation quantization
Pubs id:: 2301073
Local pid:: pubs:2301073
Source identifiers:: W2888259109
Deposit date:: 2026-05-08
ARK identifier:: ark:/29072/ora_a483417eb20d4116a1f2ffec26c70358

Terms of use

Copyright holder:: Foundation Compositio Mathematica
Copyright date:: 2020
Rights statement:: © Foundation Compositio Mathematica 2020.
Notes:: This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at https://dx.doi.org/10.1112/s0010437x19007760

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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