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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The genus one Gromov-Witten invariants of Calabi-Yau complete intersections


Author: Alexandra Popa
Journal: Trans. Amer. Math. Soc. 365 (2013), 1149-1181
MSC (2010): Primary 14N35
Published electronically: October 2, 2012
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Abstract: We obtain mirror formulas for the genus 1 Gromov-Witten invariants of projective Calabi-Yau complete intersections. We follow the approach previously used for projective hypersurfaces by extending the scope of its algebraic results; there is little change in the geometric aspects. As an application, we check the genus 1 BPS integrality predictions in low degrees for all projective complete intersections of dimensions 3, 4, and 5.


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Additional Information

Alexandra Popa
Affiliation: Department of Mathematics, SUNY Stony Brook, Stony Brook, New York 11794-3651
Address at time of publication: Department of Mathematics, Rutgers University–Hill Center for the Mathematical Sciences, 110 Frelinghuysen Rd., Piscataway, New Jersey 08854-8019
Email: alexandra@math.rutgers.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05550-4
PII: S 0002-9947(2012)05550-4
Received by editor(s): October 15, 2010
Received by editor(s) in revised form: January 26, 2011
Published electronically: October 2, 2012
Additional Notes: This research was partially supported by DMS grant 0846978
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.