15 citations · 22 across the 5 of their papers we have counts for
6 papers
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…
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…
On the algebraic K-theory of formal power series
Ayelet Lindenstrauss, Randy McCarthy
Let R be a discrete unital ring, and let M be an R-bimodule. We extend Waldhausen's equivalence from the suspension of the Nil K-theory of R with coefficients in M to the K theory…
On the Taylor Tower of Relative K-theory
Ayelet Lindenstrauss, Randy McCarthy
For a functor with smash product F and an F-bimodule P, we construct an invariant W(F;P) which is an analog of TR(F) with coefficients. We study the structure of this invariant and…
On Triples, Operads, and Generalized Homogeneous Functors
Randy McCarthy, Vahagn Minasian
We study the splitting of the Goodwillie towers of functors in various settings. In particular, we produce splitting criteria for functors $F: \A \to M_A$ from a pointed category w…
HKR Theorem for Smooth S-algebras
Randy McCarthy, Vahagn Minasian
We derive an étale descent formula for topological Hochschild homology and prove a HKR theorem for smooth S-algebras.