5 papers
Gromov-Witten invariants in family and quantum cohomology
Indranil Biswas, Nilkantha Das, Jeongseok Oh +1
A moduli space of stable maps to the fibers of a fiber bundle is constructed. The new moduli space is a family version of the classical moduli space of stable maps to a non-singula…
Counting Curves with Tangencies
Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee +1
Interpreting tangency as a limit of two transverse intersections, we obtain a concrete formula to enumerate smooth degree plane curves tangent to a given line at multiple point…
Enumeration of Rational Cuspidal Curves via the WDVV equation
Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee +1
We give a conjectural formula for the characteristic number of rational cuspidal curves in the projective plane by extending the idea of Kontsevich's recursion formula (namely, pul…
Tropical rational curves with first order tangency via WDVV
Anantadulal Paul, Aditya Subramaniam
In this article, we study the tropical counterpart of the enumeration of rational curves in with first order tangency. We use the tropical analogue of the WDVV tech…
CMC surfaces of revolution, Elliptic curves, Weierstrass- functions, and Algebraicity
Rukmini Dey, Anantadulal Paul, Rahul Kumar Singh
This paper establishes an interesting connection between the family of CMC surfaces of revolution in and some specific families of elliptic curves. As a consequence…