New posts in low-dimensional-topology

Fundamental group of the total space of an oriented $S^1$ fiber bundle over $T^2$

algebraic-topology geometric-topology fundamental-groups fiber-bundles low-dimensional-topology

How to recognize torus knots

knot-theory low-dimensional-topology knot-invariants

Explicit calculus of Hilbert-Smith conjecture

group-actions geometric-topology low-dimensional-topology

Homology 4-balls with boundary $S^3$

algebraic-topology geometric-topology low-dimensional-topology

For an $n$-dimensional object, how many types of holes are possible?

general-topology geometric-topology low-dimensional-topology dimension-theory-analysis

Prove that $\frac{H_1(\Sigma)}{[\alpha_1], \ldots, [\alpha_g], [\beta_1], \ldots, [\beta_g]} \cong H_1(Y)$

algebraic-topology manifolds homology-cohomology low-dimensional-topology mayer-vietoris-sequence

Can the n-string sphere braid group embed in to the (n+1)-string sphere braid group?

group-theory algebraic-topology homotopy-theory low-dimensional-topology knot-theory

Why is the 3D case so rich?

big-list low-dimensional-topology

To what extent are homeomorphisms just deformations?

general-topology geometry algebraic-topology geometric-topology low-dimensional-topology

Is there a domain in $\mathbb{R}^3$ with finite non-trivial $\pi_1$ but $H_1=0$?

general-topology algebraic-topology low-dimensional-topology

Existence of solution for a linear system mod 2

linear-algebra low-dimensional-topology

Is the Alexander polynomial of the 2-cable of a knot zero?

geometric-topology knot-theory low-dimensional-topology

Embedding compact (boundaryless?) $n$-manifolds in $n$-dimensional real space

differential-geometry manifolds geometric-topology low-dimensional-topology

In what kind of space does this object live?

geometry manifolds polytopes low-dimensional-topology

A simply-connected closed surface is a sphere

algebraic-topology surfaces geometric-topology alternative-proof low-dimensional-topology

Is the torus the union of two connected, simply-connected open sets?

algebraic-topology geometric-topology low-dimensional-topology

explicit "exotic" charts

differential-topology low-dimensional-topology

How equivalent are the homeomorphism and diffeomorphism groups of 3-manifolds?

manifolds differential-topology geometric-topology low-dimensional-topology

How does Thurston's geometrisation conjecture imply Poincaré's conjecture?

differential-geometry algebraic-topology differential-topology geometric-topology low-dimensional-topology

A wild knot and its complement

algebraic-topology soft-question knot-theory low-dimensional-topology