Published 2004
| Submitted
Journal Article
Open
Lectures on mirror symmetry, derived categories, and D-branes
- Creators
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Kapustin, Anton
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Orlov, Dmitri
Abstract
This paper, mainly intended for a mathematical audience, is an introduction to homological mirror symmetry, derived categories, and topological D-branes. Mirror symmetry from the point of view of physics is explained, along with the relationship between symmetry and derived categories, and the reason why the Fukaya category must be extended by using co-isotropic A-branes. There is also a discussion of how to extend the definition of the Floer homology to these objects and a description of mirror symmetry for flat tori. The paper consists of four lectures given at the Institute of Pure and Applied Mathematics (Los Angeles) in March 2003, as a part of the programme "Symplectic Geometry and Physics".
Additional Information
© 2004 Turpion Ltd. The first author was supported in part by the DOE grant DE-FG03-92-ER40701. The second author was supported in part by the grant of the President of RF for young scientists D-2731.2004.1, by Civic Research Development Foundation (CRDF Award No RM1-2405-MO-02), and by the Russian Science Support Foundation.Attached Files
Submitted - 0308173.pdf
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0308173.pdf
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Additional details
- Eprint ID
- 66717
- Resolver ID
- CaltechAUTHORS:20160506-151404465
- DE-FG03-92-ER40701
- Department of Energy (DOE)
- D-2731.2004.1
- President of of the Russian Federation
- RM1-2405-MO-02
- Civilian Research and Development Foundation for the Independent States of the Former Soviet Union (CRDF)
- Russian Science Support Foundation
- Created
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2016-05-06Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field