On Differential Graded Eilenberg Moore Construction
Umesh V. Dubey, Vivek Mohan Mallick
TL;DR
This paper explores the Eilenberg Moore construction within DG categories, providing new insights into monad factorizations and reinterpretations of equivariant triangulated categories.
Contribution
It introduces novel results on factoring monads as compositions of adjoint exact functors and offers reinterpretations of equivariant triangulated categories.
Findings
Factoring of monads as compositions of adjoint exact functors
Reinterpretations of equivariant triangulated categories
Advances in understanding DG categories and Eilenberg Moore construction
Abstract
This paper studies the Eilenberg Moore construction on DG categories. As applications one proves results on factoring of monads as composition of a pair of adjoint exact functors and further applications to reinterpretations of equivariant traingulated categories.
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