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Frobenius Modules and Essential Surface Cobordisms

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 نشر من قبل J. Scott Carter
 تاريخ النشر 2009
  مجال البحث
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 تأليف J. Scott Carter




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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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