Dubrovnik VI – Geometric Topology September 30 – October 7, 2007
	ABSTRACTS	pdf-version of this abstract

Steven Ferry
Rutgers University, New Brunswick, NJ, USA

Volume growth, de Rham cohomology, and the Higson compactification

We construct a variant of (real) DeRham cohomology and apply it to prove that the integral cohomology of the Higson compactification of Rⁿ has uncountably generated nth integral cohomology. Earlier work of Dranishnikov-Ferry-Weinberger shows that the Novikov Conjecture follows from the mod p acyclicity of the Higson compactification. Our construction suggests that the integral cohomology of the Higson compactification may have a real vector space structure.