Twisted signatures of fibered knots

نویسندگان

چکیده

This paper concerns twisted signature invariants of knots and 3-manifolds. In the fibered case, we reduce computation these to study intersection form monodromy on homology fiber surface. Along way, use rings power series obtain new interpretations Milnor pairing introduced by Kirk Livingston. allows us relate pairings Blanchfield pairings. Finally, resulting invariants, all which are generalisations Levine-Tristram signature.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non abelian twisted Reidemeister torsion for fibered knots

In this article, we give an explicit formula to compute the non-abelian twisted sign-determined Reidemeister torsion of the exterior of a fibered knot in terms of its monodromy. As an application, we give explicit formulae for the non abelian Reidemeister torsion of torus knots and of the figure eight knot.

متن کامل

On Multiply Twisted Knots That Are Seifert Fibered or Toroidal

We consider knots whose diagrams have a high amount of twisting of multiple strands. By encircling twists on multiple strands with unknotted curves, we obtain a link called a generalized augmented link. Dehn filling this link gives the original knot. We classify those generalized augmented links that are Seifert fibered, and give a torus decomposition for those that are toroidal. In particular,...

متن کامل

Simon’s conjecture for fibered knots

We prove Simon’s conjecture for fibered knots in S: a fibered knot group surjects at most finitely many other knot groups.

متن کامل

Fibered Knots and Property 2r

It is shown, using sutured manifold theory, that if there are any 2-component counterexamples to the Generalized Property R Conjecture, then any knot of least genus among components of such counterexamples is not a fibered knot. The general question of what fibered knots might appear as a component of such a counterexample is further considered; much can be said about the monodromy of the fiber...

متن کامل

Primeness of Twisted Knots

Let V be a standardly embedded solid torus in S3 with a meridianpreferred longitude pair {p., X) and K a knot contained in V . We assume that K is unknotted in S3 . Let fn be an orientation-preserving homeomorphism of V which sends X to X + np. Then we get a twisted knot K„ = f„ {K) in SK Primeness of twisted knots is discussed and we prove : A twisted knot K„ is prime if \n\ > 5 . Moreover, {K...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Algebraic & Geometric Topology

سال: 2021

ISSN: ['1472-2739', '1472-2747']

DOI: https://doi.org/10.2140/agt.2021.21.1973