nLab signature defect

Contents

Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

Contents

Idea

Michael Atiyah, Harold Donnelly and Isadore Singer defined the signature defect of the boundary of a manifold as the eta invariant, the value at s=0s=0 of their eta function, and used this to show that Hirzebruch’s signature defect of a cusp of a Hilbert modular variety can be expressed in terms of the value at s=0s=0 or s=1s=1 of a Shimizu L-function.

References

See also:

Last revised on May 8, 2024 at 14:54:08. See the history of this page for a list of all contributions to it.