3 papers
math.AG2024
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…
math.AG2024
On a fibre bundle version of the Caporaso-Harris formula
Indranil Biswas, Apratim Choudhury, Nilkantha Das +1
The Caporaso-Harris formula gives a recursive algorithm to enumerate delta nodal degree d curves in P^2. The recursion is obtained in terms of curves of lower degree that are tange…
math.DG2024
Weyls's law for Compact Rank One Symmetric Spaces
Sai Sriharsha Indukuri, Ritwik Mukherjee
Weyls law is a fundamental result governing the asymptotic behaviour of the eigenvalues of teh Laplacian. It states that for a compact d dimensional manifold M (without boundary),…