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# Cut-and-paste invariants of moduli spaces of relative stable maps to P^1

## February 18 at 15:15 – 16:15 CET

TGiZ-Seminar: Tropical geometry in Zoom (Second meeting)

Siddarth Kannan (Brown University)

Abstract:

I will discuss ongoing work studying moduli spaces of genus zero stable maps to P^1, with fixed ramification profiles over 0 and infinity. I will describe a chamber decomposition of the space of ramification data such that the Grothendieck class of the moduli space is constant on the chambers. Finally, for the sequence of ramification data corresponding to maximal ramification over 0 and no ramification over infinity, I will describe a recursive algorithm to compute the generating function for Euler characteristics of these spaces.