The $\ell^2$-cohomology of hyperplane complements
Author(s) -
Michael W. Davis,
Tadeusz Januszkiewicz,
Ian J. Leary
Publication year - 2007
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/14
Subject(s) - mathematics , hyperplane , cohomology , pure mathematics , combinatorics
We compute the l^2-Betti numbers of the complement of a finite collection ofaffine hyperplanes in complex space. At most one of the l^2-Betti numbers isnon-zero.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom