Difference equation for the Gromov-Witten potential of the resolved conifold

Murad Alim

doi:10.48550/arXiv.2011.12759

Difference equation for the Gromov-Witten potential of the resolved conifold

Murad Alim

Research output: Working paper › Preprint

34 Downloads (Pure)

Abstract

A difference equation is proved for the Gromov-Witten potential of the resolved conifold. Using the Gopakumar-Vafa resummation of the Gromov-Witten invariants of any Calabi-Yau threefold, it is further shown that similar difference equations are satisfied by the part of the resummed potential containing the contribution of the genus zero GV invariants.

Original language	English
Publisher	arXiv
DOIs	https://doi.org/10.48550/arXiv.2011.12759
Publication status	Published - 25 Nov 2020

Keywords

math.AG
hep-th
math-ph
math.MP

Access to Document

10.48550/arXiv.2011.12759Licence: CC BY

Download pdfOther version, 117 KBLicence: CC BY

Cite this

@techreport{99d88119507c4ffb924978a62ccb7a3e,

title = "Difference equation for the Gromov-Witten potential of the resolved conifold",

abstract = " A difference equation is proved for the Gromov-Witten potential of the resolved conifold. Using the Gopakumar-Vafa resummation of the Gromov-Witten invariants of any Calabi-Yau threefold, it is further shown that similar difference equations are satisfied by the part of the resummed potential containing the contribution of the genus zero GV invariants. ",

keywords = "math.AG, hep-th, math-ph, math.MP",

author = "Murad Alim",

note = "5 pages, typos fixed and references added",

year = "2020",

month = nov,

day = "25",

doi = "10.48550/arXiv.2011.12759",

language = "English",

publisher = "arXiv",

type = "WorkingPaper",

institution = "arXiv",

}

TY - UNPB

T1 - Difference equation for the Gromov-Witten potential of the resolved conifold

AU - Alim, Murad

N1 - 5 pages, typos fixed and references added

PY - 2020/11/25

Y1 - 2020/11/25

N2 - A difference equation is proved for the Gromov-Witten potential of the resolved conifold. Using the Gopakumar-Vafa resummation of the Gromov-Witten invariants of any Calabi-Yau threefold, it is further shown that similar difference equations are satisfied by the part of the resummed potential containing the contribution of the genus zero GV invariants.

AB - A difference equation is proved for the Gromov-Witten potential of the resolved conifold. Using the Gopakumar-Vafa resummation of the Gromov-Witten invariants of any Calabi-Yau threefold, it is further shown that similar difference equations are satisfied by the part of the resummed potential containing the contribution of the genus zero GV invariants.

KW - math.AG

KW - hep-th

KW - math-ph

KW - math.MP

U2 - 10.48550/arXiv.2011.12759

DO - 10.48550/arXiv.2011.12759

M3 - Preprint

BT - Difference equation for the Gromov-Witten potential of the resolved conifold

PB - arXiv

ER -

Difference equation for the Gromov-Witten potential of the resolved conifold

Abstract

Keywords

Access to Document

Fingerprint

Cite this