Homological Mirror Symmetry for manifolds of general type

Anton Kapustin; Ludmil Katzarkov; Dmitri Orlov; Mirroslav Yotov

doi:10.2478/s11533-009-0056-x

Homological Mirror Symmetry for manifolds of general type

Anton Kapustin, Ludmil Katzarkov, Dmitri Orlov, Mirroslav Yotov

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	571-605
Number of pages	35
Journal	Central European Journal of Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.2478/s11533-009-0056-x
State	Published - Dec 2009
Externally published	Yes

Keywords

Categories
Homological mirror Symmetry
K theory

ASJC Scopus subject areas

Mathematics(all)

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10.2478/s11533-009-0056-x

Cite this

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title = "Homological Mirror Symmetry for manifolds of general type",

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

keywords = "Categories, Homological mirror Symmetry, K theory",

author = "Anton Kapustin and Ludmil Katzarkov and Dmitri Orlov and Mirroslav Yotov",

note = "Funding Information: First and second authors are partially supported by NSF Grant DMS0600800 and by Clay Math Institute.",

year = "2009",

month = dec,

doi = "10.2478/s11533-009-0056-x",

language = "English (US)",

volume = "7",

pages = "571--605",

journal = "Open Mathematics",

issn = "1895-1074",

publisher = "Walter de Gruyter GmbH & Co. KG",

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T1 - Homological Mirror Symmetry for manifolds of general type

AU - Kapustin, Anton

AU - Katzarkov, Ludmil

AU - Orlov, Dmitri

AU - Yotov, Mirroslav

N1 - Funding Information: First and second authors are partially supported by NSF Grant DMS0600800 and by Clay Math Institute.

PY - 2009/12

Y1 - 2009/12

N2 - In this paper we outline the foundations of Homological Mirror Symmetry for manifolds of general type. Both Physics and Categorical prospectives are considered.

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

KW - Categories

KW - Homological mirror Symmetry

KW - K theory

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U2 - 10.2478/s11533-009-0056-x

DO - 10.2478/s11533-009-0056-x

M3 - Article

AN - SCOPUS:70449512883

VL - 7

SP - 571

EP - 605

JO - Open Mathematics

JF - Open Mathematics

SN - 1895-1074

IS - 4

ER -

Homological Mirror Symmetry for manifolds of general type

Abstract

Keywords

ASJC Scopus subject areas

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