Introduction to homological mirror symmetry

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Mirror symmetry states that to every Calabi-Yau manifold X with complex structure and symplectic symplectic structure there is another dual manifold X, so that the properties of X associated to the complex structure (e.g. periods, bounded derived category of coherent sheaves) reproduce properties of X associated to its symplectic structure (e.g. counts of pseudo holomorphic curves and discs).

Original languageEnglish (US)
Title of host publicationSuperschool on Derived Categories and D-branes, 2016
EditorsMatthew Ballard, Charles Doran, David Favero, Eric Sharpe
PublisherSpringer New York LLC
Pages139-161
Number of pages23
Volume240
ISBN (Print)9783319916255
DOIs
StatePublished - Jan 1 2018
EventSuperschool on derived categories and D-branes, 2016 - Edmonton, Canada
Duration: Jul 17 2016Jul 23 2016

Other

OtherSuperschool on derived categories and D-branes, 2016
CountryCanada
CityEdmonton
Period7/17/167/23/16

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Harder, A. (2018). Introduction to homological mirror symmetry. In M. Ballard, C. Doran, D. Favero, & E. Sharpe (Eds.), Superschool on Derived Categories and D-branes, 2016 (Vol. 240, pp. 139-161). Springer New York LLC. https://doi.org/10.1007/978-3-319-91626-2_12