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A knot $K = K_1 \# K_2$ is alternating if and only if $K_1$ and $K_2$ are alternating.

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#algebraic-topology #knot-theory #low-dimensional-topology #knot-invariants
56
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Tying a portion of a knot diagram

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#knot-theory #low-dimensional-topology
236
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Seifert Fibered Spaces with Boundary are $\mathbb{P}^2$-irreducible

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#algebraic-topology #geometric-topology #low-dimensional-topology
358
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Distortion of the Unknot

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#geometric-topology #knot-theory #low-dimensional-topology
162
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Orbits of points under pseudo-Anosov diffeomorphisms

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#dynamical-systems #surfaces #hyperbolic-geometry #low-dimensional-topology
151
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Do the link cobordism induced maps on Khovanov homology for different diagrams commute?

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#low-dimensional-topology
289
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Using covering spaces to show that there is no continuous odd map $S^n \to S^1$

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#algebraic-topology #continuity #covering-spaces #projective-space #low-dimensional-topology
232
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Not every 3-manifold is a graph manifold

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#differential-topology #knot-theory #low-dimensional-topology #kirby-diagram
135
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Topology on the space of foliations

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#riemannian-geometry #smooth-manifolds #low-dimensional-topology #foliations
64
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Identifiying a topological space given by a quotient

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#general-topology #quotient-spaces #low-dimensional-topology
1.9k
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What is meant by "covering space corresponding to a subgroup of fundamental group"?

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#algebraic-topology #group-actions #covering-spaces #fundamental-groups #low-dimensional-topology
40
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Is there an example of reducible compact 3-manifold with boundary that has no embedded incompressible two-sided surface?

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#manifolds #geometric-topology #low-dimensional-topology #manifolds-with-boundary #compact-manifolds
164
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Is there a manifold with no embedded incompressible surface?

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#manifolds #geometric-topology #low-dimensional-topology
30
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Is there a way to compute the orientability of a surface embedded in 3D and represented by a collection of datapoints?

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#geometry #algorithms #low-dimensional-topology #non-orientable-surfaces
194
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Nullity of the linking matrix of a framed link

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#algebraic-topology #geometric-topology #knot-theory #low-dimensional-topology

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