Tangency quantum cohomology

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Standard

Tangency quantum cohomology. / Kock, Joachim.

I: Compositio Mathematica, Bind 140, Nr. 1, 01.2004, s. 165-178.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Kock, J 2004, 'Tangency quantum cohomology', Compositio Mathematica, bind 140, nr. 1, s. 165-178. https://doi.org/10.1112/S0010437X03000101

APA

Kock, J. (2004). Tangency quantum cohomology. Compositio Mathematica, 140(1), 165-178. https://doi.org/10.1112/S0010437X03000101

Vancouver

Kock J. Tangency quantum cohomology. Compositio Mathematica. 2004 jan.;140(1):165-178. https://doi.org/10.1112/S0010437X03000101

Author

Kock, Joachim. / Tangency quantum cohomology. I: Compositio Mathematica. 2004 ; Bind 140, Nr. 1. s. 165-178.

Bibtex

@article{b1163b6384634ae5b4dd4cd3ef7d08cc,
title = "Tangency quantum cohomology",
abstract = "Let X be a smooth projective variety. Using modified psi classes on the stack of genus-zero stable maps to X, a new associative quantum product is constructed on the cohomology space of X. When X is a homogeneous variety, this structure encodes the characteristic numbers of rational curves in X, and specialises to the usual quantum product upon resetting the parameters corresponding to the modified psi classes. For X=P-2, the product is equivalent to that of the contact cohomology of Ernstrom and Kennedy.",
keywords = "quantum cohomology, Gromov-Witten invariants, enumerative geometry, GROMOV-WITTEN-INVARIANTS, CHARACTERISTIC-NUMBERS, GEOMETRY, CONTACT",
author = "Joachim Kock",
year = "2004",
month = jan,
doi = "10.1112/S0010437X03000101",
language = "English",
volume = "140",
pages = "165--178",
journal = "Compositio Mathematica",
issn = "0010-437X",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Tangency quantum cohomology

AU - Kock, Joachim

PY - 2004/1

Y1 - 2004/1

N2 - Let X be a smooth projective variety. Using modified psi classes on the stack of genus-zero stable maps to X, a new associative quantum product is constructed on the cohomology space of X. When X is a homogeneous variety, this structure encodes the characteristic numbers of rational curves in X, and specialises to the usual quantum product upon resetting the parameters corresponding to the modified psi classes. For X=P-2, the product is equivalent to that of the contact cohomology of Ernstrom and Kennedy.

AB - Let X be a smooth projective variety. Using modified psi classes on the stack of genus-zero stable maps to X, a new associative quantum product is constructed on the cohomology space of X. When X is a homogeneous variety, this structure encodes the characteristic numbers of rational curves in X, and specialises to the usual quantum product upon resetting the parameters corresponding to the modified psi classes. For X=P-2, the product is equivalent to that of the contact cohomology of Ernstrom and Kennedy.

KW - quantum cohomology

KW - Gromov-Witten invariants

KW - enumerative geometry

KW - GROMOV-WITTEN-INVARIANTS

KW - CHARACTERISTIC-NUMBERS

KW - GEOMETRY

KW - CONTACT

U2 - 10.1112/S0010437X03000101

DO - 10.1112/S0010437X03000101

M3 - Journal article

VL - 140

SP - 165

EP - 178

JO - Compositio Mathematica

JF - Compositio Mathematica

SN - 0010-437X

IS - 1

ER -

ID: 331503067