Twisted Gromov-Witten r-spin potential and Givental's quantization

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dc.creatorChiodo, Alessandro
dc.creatorZvonkine, Dimitri
dc.date2007-11-02
dc.date.accessioned2026-07-07T08:40:14Z
dc.date.available2026-07-07T08:40:14Z
dc.descriptionThe universal curve p:C->\Mbar over the moduli space \Mbar of stable r-spin maps to a target Kähler manifold X carries a universal spinor bundle L->C. Therefore the moduli space \Mbar itself carries a natural K-theory class Rp_*L. We introduce a twisted r-spin Gromov-Witten potential of X enriched with Chern characters of Rp_*L. We show that the twisted potential can be reconstructed from the ordinary r-spin Gromov-Witten potential of X via an operator that assumes a particularly simple form in Givental's quantization formalism.
dc.description25 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0711.0339
dc.identifierhttp://arxiv.org/abs/0711.0339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141316
dc.subjectAlgebraic Geometry
dc.titleTwisted Gromov-Witten r-spin potential and Givental's quantization
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