Bridgeland, T. (Submitted: 2019) Geometry from Donaldson-Thomas invariants. arXiv. (Submitted)
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: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 The Author(s). For reuse permissions, please contact the Author(s). |
Keywords: | math.AG; math.AG; hep-th |
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) |
Funding Information: | Funder Grant number European Commission - Horizon 2020 670298 Royal Society WM150049 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 17 Jan 2020 12:15 |
Last Modified: | 17 Jan 2020 17:06 |
Published Version: | https://arxiv.org/abs/1912.06504v1 |
Status: | Submitted |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:154985 |