K. Orr

most cited

L^{2}

-signatures, homology localization, and amenable groups

8 citations · 8 across the 1 of their papers we have counts for

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2 papers · 1 filter

math.GT2009★ 8 cited

$L^{2}$ -signatures, homology localization, and amenable groups

Jae Choon Cha, Kent E. Orr

Aimed at geometric applications, we prove the homology cobordism invariance of the $L^{2}$ -betti numbers and $L^{2}$ -signature defects associated to the class of amenable groups lying…

math.GT1999

Knot concordance, Whitney towers and L^2 signatures

Tim D. Cochran, Kent E. Orr, Peter Teichner

We construct many examples of non-slice knots in 3-space that cannot be distinguished from slice knots by previously known invariants. Using Whitney towers in place of embedded dis…

L2-signatures, homology localization, and amenable groups

Knot concordance, Whitney towers and L^2 signatures

$L^{2}$ -signatures, homology localization, and amenable groups