Hasil untuk "math.GT"

Gabriele Viaggi

We prove uniform linear bounds on the volume variation under drilling and filling operations on finite volume hyperbolic 3-manifolds.

Vassily Olegovich Manturov

We present a way of using shear coordinates in hyperbolic geometry to get invariants of braids. This method also has a tropical analogue.

Haimiao Chen

We give a nice description for a Zariski open subset of the ${\rm SL}(3,\mathbb{C})$-character variety of the Whitehead link.

Jonathan A. Hillman

We give a new argument for the characterization of the cohomology rings of closed 3-manifolds with coefficients $\mathbb{F}_2$, first given by M. M. Postnikov (in terms of intersection rings) in 1948

Rostislav Akhmechet

We introduce equivariant $\mathfrak{gl}_N$ homology for links in the thickened annulus via foam evaluation.

Noboru Ito, Jun Yoshida

The goal of this paper is to prove a categorified analogue of Kontsevich's $4T$ relation on Vassiliev derivatives of Khovanov homology.

Xiliu Yang

In this note, we prove that a nontrivial Kinoshita-Terasaka or Conway knot does not admit chirally cosmetic surgeries, by calculating the finite type invariant of order 3.

Jennifer Schultens

A Heegaard splitting of a $3$-manifold is flippable if there is an isotopy that interchanges the two sides of the Heegaard splitting. We explore which Heegaard splittings of Seifert fibered spaces are flippable.

Ian M. Banfield

We prove that the maximum of the Levine-Tristram signature function of a torus knot satisfies a reduction formula analogous to a result by Gordon-Litherland-Murasugi for the classical signature.

Piotr Hajłasz

There is a topological embedding $ι:\mathbb{S}^1\to\mathbb{R}^5$ such that $π_3(\mathbb{R}^5\setminusι(\mathbb{S}^1))=0$. Therefore, no $3$-sphere can be linked with $ι(\mathbb{S}^1)$.

Hester Pieters

We prove that the embedding of the quaternionic hyperbolic disc $H^1_\mathbb{H}$ into quaternionic hyperbolic $n$-space $H^n_\mathbb{H}$ is tight and thereby obtain the value of the Gromov norm of the quaternionic Kähler class.

Mario Eudave-Munoz, Makoto Ozawa

We characterize composite tunnel number one genus two handlebody-knots.

Stefan Friedl, Taehee Kim

We give a necessary and sufficient criterion for a sutured manifold to be taut in terms of the twisted homology of the sutured manifold.

Christian Wegner

We prove the K-theoretic Farrell-Jones conjecture with (twisted) coefficients for CAT(0)-groups.

Yuhan Lim

We prove that the instanton knot homology KHI(K) as defined by Kronheimer and Mrowka (Knots, sutures and excision, preprint), recovers the Alexander polynomial for knots K in the 3-sphere.

D. Kotschick

This paper has been withdrawn, because it is subsumed by the new preprint arXiv:0806.4540 .

Martin Pikaart

We determine the largest (i.e. smallest index) characteristic subgroup of surface groups not containing any simple loops.

Shicheng Wang, Qing Zhou

In this paper, we proved that any closed orientable 3-manifold 1-dominates at most finitely many geometric 3-manifolds.

Christian Bohr

In this paper, we exploit a subtle indeterminacy in the definition of the spherical Kervaire-Milnor invariant which was discovered by R. Stong to construct non-spin 4-manifolds with even intersection form and prescribed signature.

Thomas Fiedler

This paper has been withdrawn because the result turns out to be trivial.