Frobenius Modules and Essential Surface Cobordisms

Details Frobenius Modules and Essential Surface Cobordisms Frobenius Modules and Essential Surface Cobordisms

2009-05-27

arxiv.org/abs/0905.4475v2

Mathematics

Geometric Topology

Scientific paper

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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