6 citations · 6 across the 1 of their papers we have counts for
5 papers
A pair of homotopy-theoretic version of TQFT's induced by a Brown functor
Minkyu Kim
The purpose of this paper is to study some obstruction classes induced by a construction of a homotopy-theoretic version of projective TQFT (projective HTQFT for short). A projecti…
Homology theory valued in the category of bicommutative Hopf algebras
Minkyu Kim
The codomain category of a generalized homology theory is the category of modules over a ring. For an abelian category A, an A-valued (generalized) homology theory is defined by fo…
Integrals along bimonoid homomorphisms
Minkyu Kim
We introduce a notion of an integral along a bimonoid homomorphism as a simultaneous generalization of the integral and cointegral of bimonoids. The purpose of this paper is to cha…
Kitaev's stabilizer code and chain complex theory of bicommutative Hopf algebras
Minkyu Kim
In this paper, we give a generalization of Kitaev's stabilizer code based on chain complex theory of bicommutative Hopf algebras. Due to the bicommutativity, the Kitaev's stabilize…
A generalization of Dijkgraaf-Witten theory
Minkyu Kim
The main purpose of this paper is to give a generalization of Dijkgraaf-Witten theory. Consider a morphism from a smash product of spectra E,F to another spectrum G. We construct a…