List questions from de-rham-cohomology

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Intuitive Approach to de Rham Cohomology

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Complex Analysis with differential forms

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Integrating $[\alpha] \in H^1_{dR}$ along a closed curve is well-defined

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Show $H^1_{dR}(U, \mathbb R) \cong \mathbb R$, where $U$ is the punctured plane

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Cohomology groups of $\Sigma_{2}^1$

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First de Rham cohomology group of $\mathbb C\setminus \mathbb Z$

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So what is Cohomology?

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Bott and Tu page 19 - Exercise 1.7

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If a smooth, compact, connected manifold $M$ is not orientable then its top De Rham cohmology is zero

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$G$ is a Lie group and $M$ a manifold. What does it mean that $G$ acts as a group of automorphism on $H^p (M, \mathbb{R} )$?

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Two definitions of degree of a map

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Do the antiderivatives of a real one-variable function form a cohomology class?

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etale sheafification of exact forms

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integral over rectangle to compute de Rham cohomology

Published on 03 Sep 2017 - 11:33

List Question

Steenrod squares and higher cup products for differential forms?

Intuitive Approach to de Rham Cohomology

Complex Analysis with differential forms

Integrating $[\alpha] \in H^1_{dR}$ along a closed curve is well-defined

Show $H^1_{dR}(U, \mathbb R) \cong \mathbb R$, where $U$ is the punctured plane

Cohomology groups of $\Sigma_{2}^1$

First de Rham cohomology group of $\mathbb C\setminus \mathbb Z$

So what is Cohomology?

Bott and Tu page 19 - Exercise 1.7

If a smooth, compact, connected manifold $M$ is not orientable then its top De Rham cohmology is zero

$G$ is a Lie group and $M$ a manifold. What does it mean that $G$ acts as a group of automorphism on $H^p (M, \mathbb{R} )$?

Two definitions of degree of a map

Do the antiderivatives of a real one-variable function form a cohomology class?

etale sheafification of exact forms

integral over rectangle to compute de Rham cohomology

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