Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Mathematical Surveys, 2004, Volume 59, Issue 5, Pages 907–940
DOI: https://doi.org/10.1070/RM2004v059n05ABEH000772 (Mi rm772) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Lectures on mirror symmetry, derived categories, and $D$-branes

A. N. Kapustina, D. O. Orlovb

a California Institute of Technology
b Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (446 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2004v059n05ABEH000772
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”.
Received: 05.08.2004
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 5(359), Pages 101–134
DOI: https://doi.org/10.4213/rm772
Bibliographic databases:
Document Type: Article
UDC: 512.7+514.7
MSC: Primary 14J32, 18E30; Secondary 14F05, 53D12, 57R58, 81T30, 32Q25, 81T45, 57R56
Language: English
Original paper language: Russian
Citation: A. N. Kapustin, D. O. Orlov, “Lectures on mirror symmetry, derived categories, and $D$-branes”, Uspekhi Mat. Nauk, 59:5(359) (2004), 101–134; Russian Math. Surveys, 59:5 (2004), 907–940
Citation in format AMSBIB
\Bibitem{KapOrl04}
\by A.~N.~Kapustin, D.~O.~Orlov
\paper Lectures on mirror symmetry, derived categories, and $D$-branes
\jour Uspekhi Mat. Nauk
\yr 2004
\vol 59
\issue 5(359)
\pages 101--134
\mathnet{http://mi.mathnet.ru/rm772}
\crossref{https://doi.org/10.4213/rm772}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2125928}
\zmath{https://zbmath.org/?q=an:1074.14036}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RuMaS..59..907K}
\elib{https://elibrary.ru/item.asp?id=13445867}
\transl
\jour Russian Math. Surveys
\yr 2004
\vol 59
\issue 5
\pages 907--940
\crossref{https://doi.org/10.1070/RM2004v059n05ABEH000772}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227131700003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-14544308714}
Linking options:
  • https://www.mathnet.ru/eng/rm772
  • https://doi.org/10.1070/RM2004v059n05ABEH000772
  • https://www.mathnet.ru/eng/rm/v59/i5/p101
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1520
    Russian version PDF:900
    English version PDF:48
    References:94
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024