Journal article

The flow tree formula for Donaldson–Thomas invariants of quivers with potentials

Abstract:: We prove the flow tree formula conjectured by Alexandrov and Pioline, which computes Donaldson–Thomas invariants of quivers with potentials in terms of a smaller set of attractor invariants. This result is obtained as a particular case of a more general flow tree formula reconstructing a consistent scattering diagram from its initial walls.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Argüz, H., & Bousseau, P. (2022). The flow tree formula for Donaldson–Thomas invariants of quivers with potentials. Compositio Mathematica, 158(12), 2206–2249.

MLA Style

Argüz, H, and P Bousseau. “The Flow Tree Formula for Donaldson–Thomas Invariants of Quivers with Potentials.” Compositio Mathematica, vol. 158, no. 12, 2022, pp. 2206–49.

Chicago Style

Argüz, H, and P Bousseau. 2022. “The Flow Tree Formula for Donaldson–Thomas Invariants of Quivers with Potentials.” Compositio Mathematica 158 (12): 2206–49.
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Files:: Arguz_and_Bousseau_2022_The_flow_tree.pdf

(Preview, Accepted manuscript, pdf, 622.8KB, Terms of use)

Publisher copy:: 10.1112/s0010437x22007801

Authors

+ Argüz, H More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ 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:: 158
Issue:: 12
Pages:: 2206-2249
Publication date:: 2022-12-19
Acceptance date:: 2022-09-14
DOI:: 10.1112/s0010437x22007801
EISSN:: 1570-5846
ISSN:: 0010-437X

Language:: English
Keywords:: quiver representations

scattering diagrams

Donaldson-Thomas invariants
Pubs id:: 2299547
UUID:: uuid_6c684b03-32cc-4b20-adb7-267b6f86c3ad
Local pid:: pubs:2299547
Source identifiers:: W3131588494
Deposit date:: 2025-12-27
ARK identifier:: ark:/29072/ora_6c684b0332cc4b20adb7267b6f86c3ad

Terms of use

Copyright holder:: Argüz and Bousseau
Copyright date:: 2022
Rights statement:: © 2022 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence
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/s0010437x22007801

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

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