An introduction to quantum sheaf cohomology

Eric Sharpe[1]

  • [1] Virginia Tech Physics Department Robeson Hall (0435) Blacksburg, VA 24061 (USA)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 7, page 2985-3005
  • ISSN: 0373-0956

Abstract

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In this note we review “quantum sheaf cohomology,” a deformation of sheaf cohomology that arises in a fashion closely akin to (and sometimes generalizing) ordinary quantum cohomology. Quantum sheaf cohomology arises in the study of (0,2) mirror symmetry, which we review. We then review standard topological field theories and the A/2, B/2 models, in which quantum sheaf cohomology arises, and outline basic definitions and computations. We then discuss (2,2) and (0,2) supersymmetric Landau-Ginzburg models, and quantum sheaf cohomology in that context.

How to cite

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Sharpe, Eric. "An introduction to quantum sheaf cohomology." Annales de l’institut Fourier 61.7 (2011): 2985-3005. <http://eudml.org/doc/275523>.

@article{Sharpe2011,
abstract = {In this note we review “quantum sheaf cohomology,” a deformation of sheaf cohomology that arises in a fashion closely akin to (and sometimes generalizing) ordinary quantum cohomology. Quantum sheaf cohomology arises in the study of (0,2) mirror symmetry, which we review. We then review standard topological field theories and the A/2, B/2 models, in which quantum sheaf cohomology arises, and outline basic definitions and computations. We then discuss (2,2) and (0,2) supersymmetric Landau-Ginzburg models, and quantum sheaf cohomology in that context.},
affiliation = {Virginia Tech Physics Department Robeson Hall (0435) Blacksburg, VA 24061 (USA)},
author = {Sharpe, Eric},
journal = {Annales de l’institut Fourier},
keywords = {(0; 2) mirror symmetry; quantum sheaf cohomology; Landau-Ginzburg model; (0, 2) mirror symmetry},
language = {eng},
number = {7},
pages = {2985-3005},
publisher = {Association des Annales de l’institut Fourier},
title = {An introduction to quantum sheaf cohomology},
url = {http://eudml.org/doc/275523},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Sharpe, Eric
TI - An introduction to quantum sheaf cohomology
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 7
SP - 2985
EP - 3005
AB - In this note we review “quantum sheaf cohomology,” a deformation of sheaf cohomology that arises in a fashion closely akin to (and sometimes generalizing) ordinary quantum cohomology. Quantum sheaf cohomology arises in the study of (0,2) mirror symmetry, which we review. We then review standard topological field theories and the A/2, B/2 models, in which quantum sheaf cohomology arises, and outline basic definitions and computations. We then discuss (2,2) and (0,2) supersymmetric Landau-Ginzburg models, and quantum sheaf cohomology in that context.
LA - eng
KW - (0; 2) mirror symmetry; quantum sheaf cohomology; Landau-Ginzburg model; (0, 2) mirror symmetry
UR - http://eudml.org/doc/275523
ER -

References

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