4.2 Article

Enumeration of Rational Contact Curves via Torus Actions

Journal

MICHIGAN MATHEMATICAL JOURNAL
Volume 73, Issue 4, Pages 875-894

Publisher

MICHIGAN MATHEMATICAL JOURNAL
DOI: 10.1307/mmj/20216025

Keywords

-

Categories

Ask authors/readers for more resources

This article proves that some Gromov-Witten numbers associated with rational contact (Legendrian) curves in any contact complex projective space with arbitrary incidence conditions are enumerative, and uses the Bott formula on the Kontsevich space to find the exact value of these numbers. The numbers of rational contact curves of low degree in P3 and P5 are computed as examples, and the results are consistent with existing results.
We prove that some Gromov-Witten numbers associated to rational contact (Legendrian) curves in any contact complex projective space with arbitrary incidence conditions are enumerative. Also, we use the Bott formula on the Kontsevich space to find the exact value of those numbers. As an example, the numbers of rational contact curves of low degree in P3 and P5 are computed. The results are consistent with existing results.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.2
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available