17 citations · 29 across the 6 of their papers we have counts for
6 papers
Cartan Prolongation of a Family of Curves Acquiring a Node
Susan Jane Colley, Gary Kennedy
Using the monster/Semple tower construction, we study the structure of the Cartan prolongation of the family of plane curves with nodal central member.
A coarse stratification of the monster tower
Alex Castro, Susan Jane Colley, Gary Kennedy +1
The monster tower is a tower of spaces over a specified base; each space in the tower is a parameter space for curvilinear data up to a specified order. We describe and analyze a n…
Computing Severi Degrees with Long-edge Graphs
Florian Block, Susan Jane Colley, Gary Kennedy
We study a class of graphs with finitely many edges in order to understand the nature of the formal logarithm of the generating series for Severi degrees in elementary combinatoria…
Tangential Quantum Cohomology of Arbitrary Order
S. J. Colley, G. Kennedy
J. Kock has previously defined a tangency quantum product on formal power series with coefficients in the cohomology ring of any smooth projective variety, and thus a ring that gen…
Contact formulas for rational plane curves via stable maps
Susan Jane Colley, Lars Ernstrom, Gary Kennedy
We use stable maps, and their stable lifts to the Semple bundle variety of second-order curvilinear data, to calculate certain characteristic numbers for rational plane curves. The…
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…