On the homotopy invariance of higher signatures for manifolds with boundary

1999/07/15 by Eric Leichtnam, Éric Leichtnam, John Lott +4
Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.DG

paper · pdf · doi:10.48550/arxiv.math/9907101

46 pages, some details added

openalex publication_date 1999/07/15 · arxiv created 2000/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If M is a compact oriented manifold-with-boundary whose fundamental group is virtually nilpotent or Gromov-hyperbolic, we show that the higher signatures of M are oriented-homotopy invariants.

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