1 citations · 3 across the 6 of their papers we have counts for
7 papers
Constructing monads from cubical diagrams and homotopy colimits
Kristine Bauer, Robyn Brooks, Kathryn Hess +3
This paper is the first step in a general program for defining cocalculus towers of functors via sequences of compatible monads. Goodwillie's calculus of homotopy functors inspired…
Tangent -categories and Goodwillie calculus
Kristine Bauer, Matthew Burke, Michael Ching
We make precise the analogy between Goodwillie's calculus of functors in homotopy theory and the differential calculus of smooth manifolds by introducing a higher-categorical frame…
Directional derivatives and higher order chain rules for abelian functor calculus
Kristine Bauer, Brenda Johnson, Christina Osborne +2
In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories established by the second author and McCarthy. We carefully construct a category…
Combinatorial models for Taylor polynomials of functors
Kristine Bauer, Rosona Eldred, Brenda Johnson +1
Goodwillie's calculus of homotopy functors associates a tower of polynomial approximations, the Taylor tower, to a functor of topological spaces over a fixed space. We define a new…
Unbased calculus for functors to chain complexes
Maria Basterra, Kristine Bauer, Agnes Beaudry +4
Recently, the Johnson-McCarthy discrete calculus for homotopy functors was extended to include functors from an unbased simplicial model category to spectra. This paper completes t…
Spectral sequences of operad algebras
K. Bauer, L. Scull
We identify conditions under which it is guaranteed that an action of an operad on the page of a spectral sequence passes to for and hence to the pa…
Cross effects and calculus in an unbased setting
Kristine Bauer, Brenda Johnson, Randy McCarthy
We study functors F from C_f to D where C and D are simplicial model categories and C_f is the full subcategory of C consisting of objects that factor a fixed morphism f from A to…