Go to content
UR Home

Novikov homology and non-commutative Alexander polynomials

Friedl, Stefan (2017) Novikov homology and non-commutative Alexander polynomials. Journal of Knot Theory and Its Ramifications 26 (02), p. 1740013.

Full text not available from this repository.

at publisher (via DOI)

Other URL: http://doi.org/10.1142/S0218216517400132


Abstract

In the early 2000' s Cochran and Harvey introduced non-commutative Alexander polynomials for 3-manifolds. Their degrees give strong lower bounds on the Thurston norm. In this paper, we make the case that the vanishing of a certain Novikov-Sikorav homology module is the correct notion of a monic non-commutative Alexander polynomial. Furthermore we will use the opportunity to give new proofs of several statements about Novikov-Sikorav homology in the three-dimensional context.


Export bibliographical data



Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Stefan Friedl
Identification Number:
ValueType
10.1142/S0218216517400132DOI
Keywords:THURSTON NORM; REIDEMEISTER TORSION; FIBERED 3-MANIFOLDS; LOWER BOUNDS; INVARIANTS; DUALITY; RINGS; MANIFOLDS; MODULES; THEOREM; Novikov homology; non-commutative Alexander polynomials; Thurston norm
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:38729
Owner only: item control page
  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons