Gravitational Descendants and the Moduli Space of Higher Spin Curves
Algebraic Geometry
2007-05-23 v2 Differential Geometry
Quantum Algebra
Abstract
The purpose of this note is introduce a new axiom (called the Descent Axiom) in the theory of -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.
Keywords
Cite
@article{arxiv.math/0009066,
title = {Gravitational Descendants and the Moduli Space of Higher Spin Curves},
author = {Tyler J. Jarvis and Takashi Kimura and Arkady Vaintrob},
journal= {arXiv preprint arXiv:math/0009066},
year = {2007}
}
Comments
12 pages, minor changes