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Localization Computation of One-Point Disk Invariants of Projective Calabi–Yau Complete Intersections

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Abstract

We define one-point disk invariants of a smooth projective Calabi–Yau complete intersection in the presence of an anti-holomorphic involution via localization. We show that these invariants are rational numbers and obtain a formula for them which confirms, in particular, a conjecture by Jinzenji–Shimizu [(Int J Geom Method M 11(1):1456005, 2014), Conjecture 1].

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854-8019, USA

    Alexandra Popa

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  1. Alexandra Popa
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Correspondence to Alexandra Popa.

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Communicated by N. A. Nekrasov

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Popa, A. Localization Computation of One-Point Disk Invariants of Projective Calabi–Yau Complete Intersections. Commun. Math. Phys. 332, 885–894 (2014). https://doi.org/10.1007/s00220-014-2066-1

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