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Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes

Garcia-Failde E
•
Kramer R
•
Lewanski D
•
Shadrin S
2019
  • journal article

Periodico
SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS
Abstract
We employ the 1/2-spin tautological relations to provide a particular combinatorial identity. We show that this identity is a statement equivalent to Faber's formula for proportionalities of kappa-classes on M-g, g >= 2. We then prove several cases of the combinatorial identity, providing a new proof of Faber's formula for those cases.
DOI
10.3842/SIGMA.2019.080
WOS
WOS:000493088800001
Archivio
https://hdl.handle.net/11368/3047119
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85074157152
https://www.emis.de/journals/SIGMA/2019/080/
Diritti
open access
license:digital rights management non definito
license uri:iris.pri00
FVG url
https://arts.units.it/bitstream/11368/3047119/1/6J_SIGMA.pdf
Soggetti
  • Algebraic Geometry

  • Moduli space

  • tautological relation...

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