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math.AT2024
Some geometric and topological data-driven methods in robot motion path planning
Boris Goldfarb
Motion path planning is an intrinsically geometric problem which is central for design of robot systems. Since the early years of AI, robotics together with computer vision have be…
math.AT2014★ 1 cited
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…
math.AT2013★ 8 cited
Algebraic K-theory of Geometric Groups
Gunnar Carlsson, Boris Goldfarb
In this paper we introduce a homotopy theoretic technique for proving that the -theoretic assembly map is an equivalence. It is an extension of the methods used to prove split i…