24 citations · 57 across the 12 of their papers we have counts for
4 papers · 1 filter
Contact Cohomology of the Projective Plane
Lars Ernström, Gary Kennedy
We construct an associative ring which is a deformation of the quantum cohomology ring of the projective plane. Just as the quantum cohomology encodes the incidence characteristic…
Recursive Formulas for the Characteristic Numbers of Rational Plane Curves
Lars Ernström, Gary Kennedy
We derive recursive equations for the characteristic numbers of rational nodal plane curves with at most one cusp, subject to point conditions, tangent conditions and flag conditio…
Natural transformations from constructible functions to homology
Gary Kennedy, Clint McCrory, Shoji Yokura
For complex projective varieties, all natural transformations from constructible functions to homology (modulo torsion) are linear combinations of the MacPherson-Schwartz-Chern cla…
The enumeration of simultaneous higher-order contacts between plane curves
Susan Jane Colley, Gary Kennedy
Using the Semple bundle construction, we derive an intersection-theoretic formula for the number of simultaneous contacts of specified orders between members of a generic family of…