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Displaying 41 – 51 of 51

Resolutions of moduli spaces and homological stability

Oscar Randal-Williams (2016)

Journal of the European Mathematical Society

We describe partial semi-simplicial resolutions of moduli spaces of surfaces with tangential structure. This allows us to prove a homological stability theorem for these moduli spaces, which often improves the known stability ranges and gives explicit stability ranges in many new cases. In each of these cases the stable homology can be identified using the methods of Galatius, Madsen, Tillmann and Weiss.

Resurgence of the Kontsevich-Zagier series

Ovidiu Costin, Stavros Garoufalidis (2011)

Annales de l’institut Fourier

The paper is concerned with the resurgence of the Kontsevich-Zagier series $f (q) = \sum_{n = 0}^{\infty} (1 - q) \dots (1 - q^{n})$ We give an explicit formula for the Borel transform of the power series when $q = e^{1 / x}$ from which its analytic continuation, its singularities (all on the positive real axis) and the local monodromy can be manifestly determined. We also give two formulas (one involving the Dedekind eta function, and another involving the complex error function) for the right, left and median summation of the Borel transform. We also prove that the...

Ribbon Concordance of Knots in the 3-Sphere.

C.McA. Gordon (1981)

Mathematische Annalen

Ribbon knots of 1-fusion, the Jones polynomial, and the Casson-Walker invariant.

Yoko Mizuma (2005)

Revista Matemática Complutense

We give an explicit formula for the Casson-Walker invariant of double branched covers of S3 branched along ribbon knots of 1-fusion.

Rigid sets in manifolds

David G. Wright (1986)

Banach Center Publications

Rigidity of cusps in deformations of hyperbolic 3-orbifolds.

Walter D. Neumann, Alan W. Reid (1993)

Mathematische Annalen

Roots and Centralizers of Peripheral Elements in Knot Groups.

Jonathan Simon (1976)

Mathematische Annalen

Rotary hypermaps of genus 2.

Breda d'Azevedo, Antonio J., Jones, Gareth A. (2001)

Beiträge zur Algebra und Geometrie

Rotation Numbers of Products of Circle Homeomorphisms.

Walter D. Neumann, Mark Jankins (1985)

Mathematische Annalen

Rounding corners of polygons and the embedded contact homology of $T^{3}$ .

Hutchings, Michael, Sullivan, Michael (2006)

Geometry & Topology

R-trees and the Bieri-Neumann-Strebel invariant.

Gilbert Levitt (1994)

Publicacions Matemàtiques

Let G be a finitely generated group. We give a new characterization of its Bieri-Neumann-Strebel invariant Σ(G), in terms of geometric abelian actions on R-trees. We provide a proof of Brown's characterization of Σ(G) by exceptional abelian actions of G, using geometric methods.

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