# The Y-Product

@inproceedings{Kwon2022TheY, title={The Y-Product}, author={Alice Kwon and Ying Hong Tham}, year={2022} }

. We present a topological construction that provides many examples of non-commutative Frobenius algebras that generalizes the well-known pair-of-pants. When applied to the solid torus, in conjunction with Crane-Yetter theory, we provide a topological proof of the Verlinde formula. We also apply the construction to a solid handlebody of higher genus, leading to a generalization of the Verlinde formula (not the higher genus Verlinde formula); in particular, we deﬁne a generalized S -matrix…

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