axiom, r-spin cohomological field theories, spin curves
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.
Original Publication Citation
Contemporary Mathematics, vol 267 (21), pp. 167-177.
BYU ScholarsArchive Citation
Jarvis, Tyler J.; Kimura, Takashi; and Vaintrob, Arkady, "Gravitational Descendants and the Moduli Space of Higher Spin Curves" (2001). All Faculty Publications. 584.
First published in Contemporary Mathematics in vol 267 (21), published by the American Mathematical Society
Physical and Mathematical Sciences
© 2001 The American Mathematical Society
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