8 citations · 24 across the 19 of their papers we have counts for
16 papers · 1 filter
On homological Real trace methods
Myungsin Cho, Teena Gerhardt, Liam Keenan +2
We develop homological Real trace methods, an approach to understanding the continuous mod two Bredon homology of Real topological periodic homology and Real topological negative c…
Topological symmetric and braid homologies
Gabriel Angelini-Knoll, David Chan, Teena Gerhardt +2
We identify topological symmetric homology as the free -algebra on an -algebra and topological braid homology as the free -algebra on…
Trace methods for equivariant algebraic K-theory
David Chan, Teena Gerhardt, Inbar Klang
In the past decades, one of the most fruitful approaches to the study of algebraic -theory has been trace methods, which construct and study trace maps from algebraic -theory…
Equivariant Witt Complexes and Twisted Topological Hochschild Homology
Anna Marie Bohmann, Teena Gerhardt, Cameron Krulewski +2
The topological Hochschild homology of a ring (or ring spectrum) is an -spectrum, and the fixed points of THH() for subgroups have been widely studied…
Real topological Hochschild homology via the norm and Real Witt vectors
Gabriel Angelini-Knoll, Teena Gerhardt, Michael A. Hill
We prove that Real topological Hochschild homology can be characterized as the norm from the cyclic group of order to the orthogonal group . From this perspective, we the…
A shadow perspective on equivariant Hochschild homologies
Katharine Adamyk, Teena Gerhardt, Kathryn Hess +2
Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type inva…
Topological coHochschild Homology and the Homology of Free Loop Spaces
Anna Marie Bohmann, Teena Gerhardt, Brooke Shipley
We study the homology of free loop spaces via techniques arising from the theory of topological coHochschild homology (coTHH). Topological coHochschild homology is a topological an…
Computational tools for twisted topological Hochschild homology of equivariant spectra
Katharine Adamyk, Teena Gerhardt, Kathryn Hess +2
Twisted topological Hochschild homology of -equivariant spectra was introduced by Angeltveit, Blumberg, Gerhardt, Hill, Lawson, and Mandell, building on the work of Hill, Hopk…
The Witt vectors for Green functors
Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill +1
We define twisted Hochschild homology for Green functors. This construction is the algebraic analogue of the relative topological Hochschild homology , and it describ…
Computational Tools for Topological CoHochschild Homology
Anna Marie Bohmann, Teena Gerhardt, Amalie Høgenhaven +2
In recent work, Hess and Shipley defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory…
Interpreting the Bokstedt smash product as the norm
Vigleik Angeltveit, Andrew J. Blumberg, Teena Gerhardt +2
This note compares two models of the equivariant homotopy type of the smash powers of a spectrum, namely the "Bokstedt smash product" and the Hill-Hopkins-Ravenel norm.
On the algebraic K-theory of truncated polynomial algebras in several variables
Vigleik Angeltveit, Teena Gerhardt, Michael A. Hill +1
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new gene…
On the algebraic K-theory of the coordinate axes over the integers
Vigleik Angeltveit, Teena Gerhardt
We show that K_{2i}(Z[x,y]/(xy),(x,y)) is free abelian of rank 1 and that K_{2i+1}(Z[x,y]/(xy),(x,y)) is finite of order (i!)^2. We also compute K_{2i+1}(Z[x,y]/(xy),(x,y)) in low…
RO(S^1)-graded TR-groups of F_p, Z and \ell
Vigleik Angeltveit, Teena Gerhardt
We give an algorithm for calculating the RO(S^1)-graded TR-groups of F_p, completing the calculation started by the second author. We also calculate the RO(S^1)-graded TR-groups of…
On the K-theory of truncated polynomial algebras over the integers
Vigleik Angeltveit, Teena Gerhardt, Lars Hesselholt
We show that the K_{2i}(Z[x]/(x^m),(x)) is finite of order (mi)!(i!)^{m-2} and that K_{2i+1}(Z[x]/(x^m),(x)) is free abelian of rank m-1. This is accomplished by showing that the e…
The R(S^1)-graded equivariant homotopy of THH(F_p)
Teena Gerhardt
The main result of this paper is the computation of TR^n_α(F_p;p) for αin R(S^1). These R(S^1)-graded TR-groups are the equivariant homotopy groups naturally associated to the S^1-…