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Published December 2009 | Version Submitted
Journal Article Open

Homological Mirror Symmetry for manifolds of general type

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon University of Vienna
  • 3. ROR icon Russian Academy of Sciences
  • 4. ROR icon Florida International University

Abstract

In this paper we outline the foundations of Homological Mirror Symmetry for manifolds of general type. Both Physics and Categorical prospectives are considered.

Additional Information

© 2009 Versita Warsaw and Springer-Verlag Berlin Heidelberg. Received 22 August 2009; accepted 1 September 2009. First and second authors are partially supported by NSF Grant DMS0600800 and by Clay Math Institute. We have benefited greatly from discussions M. Kontsevich, P. Seidel, K. Hori, C. Vafa and E. Witten. We are very thankful to D. Auroux and T. Pantev, without whom this paper would have never been written. We would like to thank IPAM, UCLA and especially M. Green and H. D. Cao for the wonderful working conditions of the program Symplectic Geometry and Physics, during which the work on this paper was initiated. The first two authors are grateful to KITP, Santa Barbara and especially D. Gross, R. Dijgraaf, D. Freed and T. Pantev, for the wonderful athmosphere during the program Geometry, Duality and Strings, when most of this work was done.

Attached Files

Submitted - 1004.0129v3.pdf

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1004.0129v3.pdf

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Additional details

Identifiers

Eprint ID
16807
DOI
10.2478/s11533-009-0056-x
Resolver ID
CaltechAUTHORS:20091125-095742069

Related works

Describes
10.2478/s11533-009-0056-x (DOI)
http://arxiv.org/abs/1004.0129 (URL)

Funding

NSF
DMS-0600800
Clay Math Institute

Dates

Created
2010-01-04
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Updated
2021-11-08
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Caltech groups
Mathematics Department