Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2001; 38(5): 1061-1068

Printed September 1, 2001

Copyright © The Korean Mathematical Society.

One-pointed gravitational Gromov-Witten invariants for Grassmannians

Bumsig Kim

Pohang University of Science and Technology

Abstract

We write down explicitly a recursive formula of one-pointed gravitational Gromov-Witten invariants and reduce the computation of them to a combinatoric problem which is not solved yet. The one-pointed invariants were played important role in Givental's program in mirror symmetry. In section 3, we describe the combinatoric problem which can be read independently.

Keywords: moduli spaces of stable maps, the localization theorem, Gromov-Witten invariants, Grassmannians

MSC numbers: 14N10, 14H10

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