New posts in manifolds

How is the automorphism group of a Lie group given a differential structure?

group-theory differential-geometry manifolds lie-groups lie-algebras

Understanding the definition of an abstract manifold

differential-geometry manifolds definition smooth-manifolds

Lie algebra action from Lie group action: coordinates

representation-theory lie-algebras manifolds

The tangent space of a manifold at a point given as the kernel of the jacobian of a submersion

linear-algebra differential-geometry manifolds

Does the Tangent Space Vary Continuously with The Points On a Manifold?

differential-geometry manifolds grassmannian

Is a compact, simply-connected 3-manifold necessarily $S^3$ with $B^3$'s removed?

algebraic-topology proof-verification manifolds differential-topology

Milnor's exercise: for any manifold $M$, $\mathrm{Hom}(C^\infty(M,\mathbb{R}),\mathbb{R})\cong M$

differential-geometry commutative-algebra proof-explanation manifolds

Homology of a co-h-space manifold

algebraic-topology manifolds homology-cohomology

De Rham cohomology of $\mathbb{RP}^{n}$

algebraic-topology manifolds

Seifert matrices and Arf invariant -- Cinquefoil knot

algebraic-topology manifolds knot-theory

Elliptic Regularity on Manifolds

partial-differential-equations manifolds riemannian-geometry

Manifold without point homotopy equivalent to wedge of $2$-spheres.

general-topology algebraic-topology manifolds homology-cohomology homotopy-theory

How to tell which manifolds can be embedded in $\mathbb{R}^n$, for a given $n$?

differential-geometry manifolds differential-topology smooth-manifolds

Show, that the intersection of two manifolds $M, N \subset \mathbb{R}^n$ doesn't need to be a manifold [closed]

differential-geometry manifolds

There is no immersion of the Möbius band in the plane.

manifolds differential-topology

On the meaning of formal sums of $k$-cubes, i.e. $k$-chains (in integration on manifolds)

integration differential-geometry manifolds differential-forms

On the smooth structure of $\mathbb{R}P^n$ in Milnor's book on characteristic classes.

differential-geometry manifolds differential-topology characteristic-classes

O(n) as embedded submanifold

differential-geometry manifolds

Embedd SU(n) into an enlarged twisted Spin(2n) in terms of Lie groups precisely

representation-theory manifolds lie-groups quotient-spaces homogeneous-spaces

Euler characteristic is equal to self-intersection number of zero-section?

differential-geometry manifolds differential-topology characteristic-classes