Abstract
We represent stationary descendant Gromov–Witten invariants of projective space, up to explicit combinatorial factors, by polynomials. One application gives the asymptotic behaviour of the large degree behaviour of stationary descendant Gromov–Witten invariants in terms of intersection numbers over the moduli space of curves. We also show that primary Gromov–Witten invariants are “virtual” stationary descendants and hence the string and divisor equations can be understood purely in terms of stationary invariants.
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Acknowledgements
I would like to thank the Department of Mathematics at LMU, Munich for its hospitality during which this research was carried out, and the referee for useful comments.
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Supported by Australian Research Council (Grant No. DP1094328)
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Norbury, P. Stationary Gromov–Witten invariants of projective spaces. Acta. Math. Sin.-English Ser. 33, 1163–1183 (2017). https://doi.org/10.1007/s10114-017-5314-4
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DOI: https://doi.org/10.1007/s10114-017-5314-4