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On the proof of Poincaré dual of transversal intersection

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#differential-geometry #algebraic-topology #vector-bundles #characteristic-classes #poincare-duality
44
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Projective space and sections inducing the same homology morphisms

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#algebraic-topology #homology-cohomology #projective-space #fiber-bundles #poincare-duality
822
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How to show the following diagram commutes?

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#algebraic-topology #manifolds #poincare-duality
41
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Presentation for $H^*(\mathbb{C}\mathbb{P}^1 \times \mathbb{C}\mathbb{P}^1)$

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#algebraic-topology #poincare-duality
72
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Theorem about Poincaré algebra

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#commutative-algebra #poincare-duality
1.4k
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Relation between cup and cap product

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#algebraic-topology #homology-cohomology #poincare-duality
59
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Simplicial intersection product

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#simplicial-stuff #simplicial-complex #poincare-duality
150
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When compactly supported cohomology ring is zero?

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#manifolds #homology-cohomology #poincare-duality
73
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Alexander duality on (co)chain level

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#algebraic-topology #homology-cohomology #duality-theorems #simplicial-complex #poincare-duality
124
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Projection formula for proper maps of manifolds

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#general-topology #algebraic-topology #duality-theorems #poincare-duality
180
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Poincaré duality and quantum (co)homology for $S^2 \times S^2$

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#symplectic-geometry #poincare-duality
405
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Generalising dual triangulation of manifolds

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#manifolds #simplicial-complex #poincare-duality #configuration-space
1.2k
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Intersection number and cup product

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#algebraic-topology #intersection-theory #poincare-duality
220
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singular cohomology and Poincaré duality

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#algebraic-topology #homology-cohomology #de-rham-cohomology #poincare-duality
116
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Regarding the proof of Poincare Duality via 5-Lemma (commutativity?)

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#de-rham-cohomology #poincare-duality

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