Mathematics – Algebraic Geometry
Scientific paper
2011-07-05
Mathematics
Algebraic Geometry
43 pages, 4 figures
Scientific paper
We study classes $P_{g,T}(\alpha;\beta)$ on the moduli space of stable, genus g curves with rational tails defined by pushing forward the virtual fundamental classes of spaces of relative stable maps to an unparameterized projective line. A comparison with classes $Q_{g,T}$ arising from sections of the universal Jacobian shows the classes $P_{g,T}(\alpha;\beta)$ are polynomial in the parts of the partitions indexing the special ramification data. Virtual localization on moduli spaces of relative stable maps gives sufficient relations to compute the coefficients of these polynomials in various cases.
Cavalieri Renzo
Marcus Steffen
Wise Jonathan
No associations
LandOfFree
Polynomial families of tautological classes on $\mathcal{M}_{g,n}^{rt}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Polynomial families of tautological classes on $\mathcal{M}_{g,n}^{rt}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polynomial families of tautological classes on $\mathcal{M}_{g,n}^{rt}$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-476444