Bridgeland, T. orcid.org/0000-0001-5120-006X (2021) Geometry from Donaldson-Thomas invariants. In: Novikov, S., Krichever, I., Ogievetsky, O. and Shlosman, S., (eds.) Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry. Proceedings of Symposia in Pure Mathematics, 103.2 . American Mathematical Society , pp. 1-66. ISBN 9781470455927
Abstract
We introduce geometric structures on the space of stability conditions of a three-dimensional Calabi-Yau category which encode the Donaldson-Thomas invariants of the category. We explain in detail a close analogy between these structures, which we call Joyce structures, and Frobenius structures. In the second half of the paper we give explicit calculations of Joyce structures in three interesting classes of examples.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2021 by the American Mathematical Society. |
Keywords: | Pure Mathematics; Mathematical Sciences |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 10 Jan 2024 09:39 |
Last Modified: | 10 Jan 2024 09:39 |
Status: | Published |
Publisher: | American Mathematical Society |
Series Name: | Proceedings of Symposia in Pure Mathematics |
Refereed: | Yes |
Identification Number: | 10.1090/pspum/103.2/01851 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:207281 |