J functions, non-nef toric varieties and equivariant local mirror symmetry of curves

Brian Forbes; Masao Jinzenji

doi:10.1142/S0217751X0703649X

J functions, non-nef toric varieties and equivariant local mirror symmetry of curves

Brian Forbes, Masao Jinzenji

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

8 Citations (Scopus)

Abstract

We provide a straightforward computational scheme for the equivariant local mirror symmetry of curves, i.e. mirror symmetry for ο(k) ⊕ ο(-2 -k) → ¹ ℙ for k ≥ 1, and detail related methods for dealing with mirror symmetry of non-nef toric varieties, based on the theorems of Refs. 2 and 13. The basic tools are equivariant / functions and their Birkhoff factorization.

Original language	English
Pages (from-to)	2327-2360
Number of pages	34
Journal	International Journal of Modern Physics A
Volume	22
Issue number	13
DOIs	https://doi.org/10.1142/S0217751X0703649X
Publication status	Published - May 20 2007
Externally published	Yes

Keywords

Local mirror symmetry
Quantum cosmology
Topological string

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

Access to Document

10.1142/S0217751X0703649X

Cite this

@article{660d437943b74bd4a446670d1c08c420,

title = "J functions, non-nef toric varieties and equivariant local mirror symmetry of curves",

abstract = "We provide a straightforward computational scheme for the equivariant local mirror symmetry of curves, i.e. mirror symmetry for ο(k) ⊕ ο(-2 -k) → 1 ℙ for k ≥ 1, and detail related methods for dealing with mirror symmetry of non-nef toric varieties, based on the theorems of Refs. 2 and 13. The basic tools are equivariant / functions and their Birkhoff factorization.",

keywords = "Local mirror symmetry, Quantum cosmology, Topological string",

author = "Brian Forbes and Masao Jinzenji",

note = "Funding Information: The research of B. Forbes was funded by a COE grant of Hokkaido University. The research of M. Jinzenji is partially supported by JSPS grant No. 16740216.",

year = "2007",

month = may,

day = "20",

doi = "10.1142/S0217751X0703649X",

language = "English",

volume = "22",

pages = "2327--2360",

journal = "International Journal of Modern Physics A",

issn = "0217-751X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "13",

}

TY - JOUR

T1 - J functions, non-nef toric varieties and equivariant local mirror symmetry of curves

AU - Forbes, Brian

AU - Jinzenji, Masao

N1 - Funding Information: The research of B. Forbes was funded by a COE grant of Hokkaido University. The research of M. Jinzenji is partially supported by JSPS grant No. 16740216.

PY - 2007/5/20

Y1 - 2007/5/20

N2 - We provide a straightforward computational scheme for the equivariant local mirror symmetry of curves, i.e. mirror symmetry for ο(k) ⊕ ο(-2 -k) → 1 ℙ for k ≥ 1, and detail related methods for dealing with mirror symmetry of non-nef toric varieties, based on the theorems of Refs. 2 and 13. The basic tools are equivariant / functions and their Birkhoff factorization.

AB - We provide a straightforward computational scheme for the equivariant local mirror symmetry of curves, i.e. mirror symmetry for ο(k) ⊕ ο(-2 -k) → 1 ℙ for k ≥ 1, and detail related methods for dealing with mirror symmetry of non-nef toric varieties, based on the theorems of Refs. 2 and 13. The basic tools are equivariant / functions and their Birkhoff factorization.

KW - Local mirror symmetry

KW - Quantum cosmology

KW - Topological string

UR - http://www.scopus.com/inward/record.url?scp=34347349991&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34347349991&partnerID=8YFLogxK

U2 - 10.1142/S0217751X0703649X

DO - 10.1142/S0217751X0703649X

M3 - Article

AN - SCOPUS:34347349991

SN - 0217-751X

VL - 22

SP - 2327

EP - 2360

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 13

ER -

J functions, non-nef toric varieties and equivariant local mirror symmetry of curves

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this