Virasoro constraints and the Chern classes of the Hodge bundle - INSPIRE

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Virasoro constraints and the Chern classes of the Hodge bundle

May 25, 1998

14 pages

Published in:

Nucl.Phys.B 530 (1998) 701-714

Published: 1998

e-Print:

math/9805114 [math.AG]

DOI:

10.1016/S0550-3213(98)00517-3

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Abstract: (Elsevier)

We analyse the consequences of the Virasoro conjecture of Eguchi, Hori and Xiong for Gromov-Witten invariants, in the case of zero degree maps to the manifolds P 1 and P 2 (or more generally, smooth projective curves and smooth simply connected projective surfaces). We obtain predictions involving intersections of psi and lambda classes on M g,n . In particular, we show that the Virasoro conjecture for P 2 implies the numerical part of Faber's conjecture on the tautological Chow ring of M g .

Note:

12 pages, latex2e

Gromov-Witten invariants
Virasoro conjecture
Topological gravity

References(11)

Figures(0)

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[2]

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Tohru Eguchi
(
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,
Kentaro Hori
(
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,
Chuan-Sheng Xiong
(
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)

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•
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•
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(
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Masao Jinzenji
(
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,
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(
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)

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•
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•
DOI:
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Xiao-bo Liu
(
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Gang Tian
(
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•
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