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arXiv:math/0009066 [math.AG]AbstractReferencesReviewsResources

Gravitational Descendants and the Moduli Space of Higher Spin Curves

Tyler J. Jarvis, Takashi Kimura, Arkady Vaintrob

Published 2000-09-06, updated 2000-11-22Version 2

The purpose of this note is introduce a new axiom (called the Descent Axiom) in the theory of $r$-spin cohomological field theories. This axiom explains the origin of gravitational descendants in this theory. Furthermore, the Descent Axiom immediately implies the Vanishing Axiom, explicating the latter (which has no a priori analog in the theory of Gromov-Witten invariants), in terms of the multiplicativity of the virtual class. We prove that the Descent Axiom holds in the convex case, and consequently in genus zero.

Comments: 12 pages, minor changes
Categories: math.AG, math.DG, math.QA
Subjects: 14N35, 53D45, 14H10
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