Quadratic ideals and Rogers–Ramanujan recursions

@article{Bai2018QuadraticIA,
  title={Quadratic ideals and Rogers–Ramanujan recursions},
  author={Yu-Mei Bai and E. Gorsky and Oscar Kivinen},
  journal={The Ramanujan Journal},
  year={2018},
  volume={52},
  pages={67-89}
}
We give an explicit recursive description of the Hilbert series and Gröbner bases for the family of quadratic ideals defining the jet schemes of a double point. We relate these recursions to the Rogers–Ramanujan identity and prove a conjecture of the second author, Oblomkov and Rasmussen. 

References

SHOWING 1-10 OF 16 REFERENCES
THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS
Arc spaces and the Rogers–Ramanujan identities
On Stable Khovanov Homology of Torus Knots
Abelianization of the BGG resolution of representations of the Virasoro algebra
A motivated proof of the Rogers-Ramanujan identities
JET SCHEMES, ARC SPACES AND THE NASH PROBLEM
The Theory of Partitions
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