Frobenius Modules and Essential Surface Cobordisms

J. Scott Carter; Masahico Saito

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arXiv · 0905.4475

Frobenius Modules and Essential Surface Cobordisms

J. Scott Carter·Masahico Saito

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Abstract

An algebraic system is proposed that represent surface cobordisms in thickened surfaces. Module and comodule structures over Frobenius algebras are used for representing essential curves. The proposed structure gives a unified algebraic view of states of categorified Jones polynomials in thickened surfaces and virtual knots. Constructions of such system are presented.

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J. Scott Carter, Masahico Saito. 2009-08-06. Frobenius Modules and Essential Surface Cobordisms. https://arxiv.org/abs/0905.4475

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