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math.AT2020
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…
math.AT2020★ 6 cited
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…
math.AT2018
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…