29 citations · 110 across the 27 of their papers we have counts for
5 papers · 1 filter
Equivariant Higher Hochschild Homology and Topological Field Theories
Lukas Müller, Lukas Woike
We present a version of higher Hochschild homology for spaces equipped with principal bundles for a structure group . As coefficients, we allow -algebras with -acti…
Homotopy theory of algebraic quantum field theories
Marco Benini, Alexander Schenkel, Lukas Woike
Motivated by gauge theory, we develop a general framework for chain complex valued algebraic quantum field theories. Building upon our recent operadic approach to this subject, we…
Parallel Transport of Higher Flat Gerbes as an Extended Homotopy Quantum Field Theory
Lukas Müller, Lukas Woike
We prove that the parallel transport of a flat -gerbe on any given target space gives rise to an -dimensional extended homotopy quantum field theory. In case the target spa…
Involutive categories, colored -operads and quantum field theory
Marco Benini, Alexander Schenkel, Lukas Woike
Involutive category theory provides a flexible framework to describe involutive structures on algebraic objects, such as anti-linear involutions on complex vector spaces. Motivated…
Extended Homotopy Quantum Field Theories and their Orbifoldization
Christoph Schweigert, Lukas Woike
We present a precise definition of extended homotopy quantum field theories and develop an orbifold construction for these theories when the target space is the classifying space o…