Rho Invariants for Manifolds with Boundary and Low-Dimensional Topology

URN to cite this document:: urn:nbn:de:bvb:355-epub-406883
DOI to cite this document:: 10.5283/epub.40688

Toffoli, Enrico

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Date of publication of this fulltext: 10 Sep 2019 11:06

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Item type:	Thesis of the University of Regensburg (PhD)
Date:	10 September 2019
Referee:	Prof. Stefan Friedl and Prof. Paul Kirk
Date of exam:	3 July 2019
Institutions:	Mathematics > Prof. Dr. Stefan Friedl
Keywords:	Rho invariants, manifolds with boundary, knots, links, multivariable signatures, Kirk-Lesch, gluing formulas, Maslov index, Lagrangians, cut-and-paste
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:	40688

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Abstract (English)

In this thesis, rho invariants for manifolds with boundary are studied thoroughly, with a special focus on the 3-dimensional case. A new invariant for links arises in this way, and its relation to previously known invariants is investigated.

Translation of the abstract (German)

In dieser Arbeit werden rho-Invarianten für Mannigfaltigkeiten mit Rand gründlich untersucht, wobei der Schwerpunkt auf dem 3-dimensionalen Fall liegt. Auf diese Weise entsteht eine neue Invariante für Verschlingungen und der Zusammenhang mit bisher bekannten Invarianten wird analysiert.

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