Journal article
Vafa-Witten invariants for projective surfaces I: stable case
- Abstract:
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On a polarised surface, solutions of the Vafa-Witten equations correspond to certain polystable Higgs pairs. When stability and semistability coincide, the moduli space admits a symmetric obstruction theory and a $ \mathbb{C}^*$ action with compact fixed locus. Applying virtual localisation we define invariants constant under deformations. When the vanishing theorem of Vafa-Witten holds, the result is the (signed) Euler characteristic of the moduli space of instantons. In general there are o...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 823.1KB)
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- Publisher copy:
- 10.1090/jag/738
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Authors
Funding
+ Japan Society for the Promotion of Science
More from this funder
Funding agency for:
Tanaka, Y
Grant:
SimonsCollaborationGrant
on“SpecialholonomyinGeometry,Analysis
Physics”
+ Simons Foundation
More from this funder
Funding agency for:
Tanaka, Y
Grant:
SimonsCollaborationGrant
on“SpecialholonomyinGeometry,Analysis
Physics”
Bibliographic Details
- Publisher:
- American Mathematical Society Publisher's website
- Journal:
- Journal of Algebraic Geometry Journal website
- Publication date:
- 2019-10-23
- Acceptance date:
- 2018-11-22
- DOI:
- EISSN:
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1534-7486
- ISSN:
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1056-3911
- Source identifiers:
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945778
Item Description
- Pubs id:
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pubs:945778
- UUID:
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uuid:38a2db78-54db-414a-8161-23e14c3ef2d3
- Local pid:
- pubs:945778
- Deposit date:
- 2018-11-22
Terms of use
- Copyright holder:
- University Press, Inc
- Copyright date:
- 2019
- Notes:
- Copyright © 2019 University Press, Inc. This is the accepted manuscript version of the article. The final version is available online from American Mathematical Society at: https://doi.org/10.1090/jag/738
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