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What are $q$-deformations?

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#abstract-algebra #homology-cohomology #hopf-algebras #quantum-groups #deformation-theory
97
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Induced isomorphism of cohomology group implies induced isomorphism of cohomology with any coefficient

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#algebraic-topology #homology-cohomology #homological-algebra
386
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Showing induced action of G by conjugation on Hochschild-Serre $H_i(G/N, H_j(N,M))$ is trivial

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#homology-cohomology #homological-algebra #group-cohomology #spectral-sequences
403
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Homology calculation using Mayer Vietoris sequences

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#algebraic-topology #homology-cohomology #geometric-topology
107
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Showing Homology Sequence breaks up into short sequences that split

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#algebraic-topology #homology-cohomology #geometric-topology
162
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Simplicial homology computation over $F_2$

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#homology-cohomology
134
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Different version of Lefschetz hyperplane theorem

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#algebraic-geometry #homology-cohomology #complex-geometry
161
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Computing persistent homology using clique complex filtrations

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#homology-cohomology #computational-mathematics
51
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Basic confusion regarding definition of relative homology group $H_p(K;L)$

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#algebraic-topology #homology-cohomology
159
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Definition of the operation in the nth singular chain group?

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#group-theory #algebraic-topology #homology-cohomology
164
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Same homology and distinct homotopy on torus

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#algebraic-topology #homology-cohomology #homotopy-theory
740
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Proof of Hopf's theorem (the one about cohomology of Lie groups being equal to the cohomology of a product of spheres)

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#differential-geometry #reference-request #algebraic-topology #lie-groups #homology-cohomology
82
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Why $H_{dR}^1(M) \simeq \mathbb R^n$ when $H_1(M,\mathbb Z)$ has $n$ generators?

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#homology-cohomology #hodge-theory #de-rham-cohomology
208
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Using Mayer-Vietoris to find map whose degree is arbitrary natural number from $S^n \rightarrow S^n$

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#algebraic-topology #homology-cohomology
81
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CHEVALLEY-EILENBERG cohomology of polynomial vector fields

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#lie-algebras #homology-cohomology

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