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Discontinuities of the ρ-invariant and an application to the L²-ρ-invariant

Meumertzheim, Johanna (2019) Discontinuities of the ρ-invariant and an application to the L²-ρ-invariant. PhD, Universität Regensburg.

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Date of publication of this fulltext: 20 Nov 2019 10:12

Abstract (English)

Let M be a closed connected oriented odd-dimensional manifold. The Atiyah–Patodi–Singer-ρ-invariant assigns to a unitary representation α of the fundamental group a real number ρ(M,α). In other words, given M and a natural number k, we can view the ρ-invariant as a function defined on the variety Rₖ(π₁(M)) of k-dimensional unitary representations of the fundamental group of M. Cheeger and Gromov ...

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Translation of the abstract (German)

Sei M eine geschlossene zusammenhängende orientierte Mannigfaltigkeit ungerader Dimension. Die Atiyah–Patodi–Singer ρ-Invariante ordnet einer unitären Darstellung α der Fundamentalgruppe eine reelle Zahl ρ(M,α) zu. Anders gesagt, für festes M und k können wir die ρ-Invariante als Funktion betrachten, welche auf der Varietät Rₖ(π₁(M)) der k-dimensionalen unitären Darstellungen der ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:20 November 2019
Referee:Prof. Dr. Stefan Friedl
Date of exam:7 November 2019
Institutions:Mathematics > Prof. Dr. Stefan Friedl
Keywords:rho-invaiant, L²-rho-invariant, Alexander polynomial
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:41049
Owner only: item control page

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