G. Raptis

activity

20092023

most citedOn the map of Bökstedt-Madsen from the cobordism category to

A

-theory

15 citations · 91 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.KT2019★ 1 cited

Higher homotopy categories, higher derivators, and K-theory

George Raptis

For every $\infty$ -category $C$ , there is a homotopy $n$ -category $h_{n} C$ and a canonical functor $γ_{n} : C \to h_{n} C$ …

math.AT2019

Topological manifold bundles and the $A$ -theory assembly map

George Raptis, Wolfgang Steimle

We give a new proof of an index theorem for fiber bundles of compact topological manifolds due to Dwyer, Weiss, and Williams, which asserts that the parametrized $A$ -theory charact…

math.KT2019

On transfer maps in the algebraic $K$ -theory of spaces

George Raptis

We show that the Waldhausen trace map $Tr_{X} : A (X) \to Q X_{+}$ , which defines a natural splitting map from the algebraic $K$ -theory of spaces to stable homotopy, is nat…

Higher homotopy categories, higher derivators, and K-theory

Topological manifold bundles and the A-theory assembly map

On transfer maps in the algebraic K-theory of spaces

Topological manifold bundles and the $A$ -theory assembly map

On transfer maps in the algebraic $K$ -theory of spaces