Navigation auf zora.uzh.ch

Search ZORA

ZORA (Zurich Open Repository and Archive)

Migration von ZORA auf die Software DSpace

ZORA will change to a new software on 8th September 2025. Please note: deadline for new submissions is 21th July 2025!

Information & dates for training courses can be found here: Information on Software Migration.

Signatures of colored links with application to real algebraic curves

Florens, V (2005). Signatures of colored links with application to real algebraic curves. Journal of Knot Theory and Its Ramifications, 14(7):883-918.

Abstract

We construct the signature of a μ-colored oriented link, as a locally constant integer valued function with domain (S1 - {1})μ. It restricts to the Tristram–Levine's signature on the diagonal and the discontinuities can occur only at the zeros of the colored Alexander polynomial. Moreover, the signature and the related nullity verify the Murasugi–Tristram inequality. This gives a new necessary condition for a link to bound a smoothly and properly embedded surface in B4, with given Betti numbers. As an application, we achieve the classification of the complex orientations of maximal plane non-singular projective algebraic curves of degree 7, up to isotopy.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Algebra and Number Theory
Uncontrolled Keywords:Link signatures, Casson–Gordan invariants, slice genus, real algebraic curves
Language:English
Date:2005
Deposited On:19 Feb 2010 16:02
Last Modified:07 Jul 2025 03:38
Publisher:World Scientific Publishing
ISSN:0218-2165
OA Status:Closed
Free access at:Related URL. An embargo period may apply.
Publisher DOI:https://doi.org/10.1142/S0218216505004093
Related URLs:http://riemann.unizar.es/geotop/pub/vincent/signalg.pdf
Full text not available from this repository.

Metadata Export

Statistics

Citations

Dimensions.ai Metrics
11 citations in Web of Science®
11 citations in Scopus®
Google Scholar™

Altmetrics

Authors, Affiliations, Collaborations

Similar Publications