TL;DR
This paper introduces a recursion formula for degree three spin Hurwitz numbers using spin curve degeneration, building on Gunningham's combinatorial calculations.
Contribution
It provides a new recursive approach for computing degree three spin Hurwitz numbers via geometric degeneration methods.
Findings
Derived a recursion formula for degree three spin Hurwitz numbers.
Connected spin curve degeneration with combinatorial calculations.
Enhanced computational techniques for spin Hurwitz numbers.
Abstract
Recently, Gunningham \cite{G} calculated all spin Hurwitz numbers in terms of combinatorics of Sergeev algebra. In this paper, we use a spin curve degeneration to obtain a recursion formula for degree three spin Hurwitz numbers.
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