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Clarification of proof of generating set from fundamental domain

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#abstract-algebra #group-theory #graph-theory #algebraic-topology #geometric-group-theory
3k
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De Rham cohomology groups of projective real space

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#differential-geometry #algebraic-topology #smooth-manifolds #projective-space #de-rham-cohomology
696
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Software to Draw Figures in Algebraic Topology

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#reference-request #algebraic-topology #soft-question #math-software
1k
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How is the dimension of the simplicial complex defined?

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#algebraic-topology
761
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On the explicit double cover of the $SO(n)$

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#algebraic-topology #lie-groups
1.6k
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Monodromy representation.

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#ordinary-differential-equations #algebraic-topology #galois-theory #fundamental-groups
66
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Equality of certain modules of coinvariants: $(gl(V)^{\otimes n})_{gl(V)}=(gl(V)^{\otimes n})_{GL(V)}=(gl(V)^{\otimes n})_{SL(V)}$

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#algebraic-topology #lie-algebras #invariant-theory
378
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Homotopy type of knot complements

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#geometry #algebraic-topology #knot-theory
495
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The complement of a knot is aspherical

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#geometry #algebraic-topology #knot-theory
105
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Genus of the Category of Natural Numbers?

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#number-theory #graph-theory #algebraic-topology #category-theory
1.1k
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What does it mean for a covering to be trivial and one other quetsion from Lawson and Micheldohn's "Spin Geometry"

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#algebraic-topology #vector-bundles #covering-spaces
108
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Principal bundles and clutching construction on two-dimensional torus $T^2$

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#algebraic-topology
239
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First cohomology of topological spaces with non abelian coefficients

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#algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
93
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Is the fundamental group of the image a subgroup of the fundamental group of the domain?

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#algebraic-topology #examples-counterexamples #fundamental-groups
9.7k
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What is an intuitive Geometrical explanation of a "sheaf?"

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#algebraic-geometry #algebraic-topology #manifolds #sheaf-theory #higher-category-theory

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