Kirk-Lesch invariants and link concordances

URN to cite this document:: urn:nbn:de:bvb:355-epub-749244
DOI to cite this document:: 10.5283/epub.74924

Munser, Lars

License: Creative Commons Attribution 4.0
PDF
(1MB)

Date of publication of this fulltext: 11 Feb 2025 10:06

Details

Item type:	Thesis of the University of Regensburg (PhD)
Open Access Type:	Primary Publication
Date:	11 February 2025
Referee:	Prof. Dr. Stefan Friedl
Date of exam:	22 July 2024
Institutions:	Mathematics Mathematics > Prof. Dr. Stefan Friedl
Keywords:	manifolds with boundary, knots, links, Kirk-Lesch invariants, gluing formulas, Maslov index, Lagrangians, cellular and singular homology, satellite links
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:	74924

Preview

Export bibliographical data

Abstract (English)

Kirk-Lesch rho-invariants are invariants of 3-manifolds together depending on an representation of its fundamental group. In this thesis we study those invariants for knot and link complements.
We show that for concordant links the (irreducible) representations of their fundamental groups admit a bijection such that the corresponding Kirk-Lesch invariants coincide.

Translation of the abstract (German)

Kirk-Lesch's rho-Invarianten sind Invarianten für 3-Mannigfaltigkeiten, die von einer Darstellung der Fundamentalgruppe abhängig sind. In dieser Arbeit betrachten wir diese Invarianten für Knoten- und Verschlingungskomplemente.
Wir zeigen, dass für konkordante Verschlingungen eine Bijektion auf den Mengen ihrer (irreduziblen) Darstellungen der Fundamentalgruppen existiert, sodass die entsprechenden Kirk-Lesch-Invarianten übereinstimmen.

Owner only: item control page

Download Statistics