143 citations · 581 across the 51 of their papers we have counts for
6 papers · 1 filter
Equivariant stable homotopy methods in the algebraic K-theory of infinite groups
Gunnar Carlsson, Boris Goldfarb
Equivariant homotopy methods developed over the last 20 years lead to recent breakthroughs in the Borel isomorphism conjectures for Loday assembly maps in K- and L-theories. An imp…
Numeric Invariants from Multidimensional Persistence
Jacek Skryzalin, Gunnar Carlsson
We extend the results of Adcock, Carlsson, and Carlsson by constructing numeric invariants from the computation of a multidimensional persistence module as given by Carlsson, Singh…
Symmetric and r-Symmetric Tropical Polynomials and Rational Functions
Sara Kalisnik Verovsek, Gunnar Carlsson
A tropical polynomial in nr variables divided into blocks of r variables each, is r-symmetric, if it is invariant under the action of Sn that permutes the blocks. For r=1 we call t…
Hierarchical Quasi-Clustering Methods for Asymmetric Networks
Gunnar Carlsson, Facundo Mémoli, Alejandro Ribeiro +1
This paper introduces hierarchical quasi-clustering methods, a generalization of hierarchical clustering for asymmetric networks where the output structure preserves the asymmetry…
Equivariant motivic homotopy theory
Gunnar Carlsson, Roy Joshua
In this paper, we develop the theory of equivariant motivic homotopy theory, both unstable and stable. While our original interest was in the case of profinite group actions on smo…
K-theory of geometric modules with fibred control
Gunnar Carlsson, Boris Goldfarb
Controlled algebra plays a central role in many recent advances in geometric topology. This paper studies the iteration construction that was present from the very origins of the t…