Gravitational Descendants and the Moduli Space of Higher Spin Curves

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dc.creatorJarvis, Tyler J.
dc.creatorKimura, Takashi
dc.creatorVaintrob, Arkady
dc.date2000-09-06
dc.date2000-11-22
dc.date.accessioned2026-07-07T04:37:15Z
dc.date.available2026-07-07T04:37:15Z
dc.descriptionThe 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.
dc.description12 pages, minor changes
dc.identifierhttps://arxiv.org/abs/math/0009066
dc.identifierhttp://arxiv.org/abs/math/0009066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59882
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.subject14N35, 53D45, 14H10
dc.titleGravitational Descendants and the Moduli Space of Higher Spin Curves
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