List questions from poincare-duality

49

Views

Why is the bilinear form on $H^d(X,\mathbb Q_{\ell})$ afforded by Poincaré duality alternating when $d = \dim(X)$ is odd?

Published on 01 Mar 2024 - 2:21

20

Views

Class in $H^1(T^2)$ that is not dual to closed 1-dim submanifold of $T^2$

Published on 25 Mar 2024 - 0:42

117

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Hatcher Corollary 3.39, making unstated assumptions?

Published on 26 Jul 2017 - 21:36

365

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Explicit description of Poincare dual of graph?

Published on 05 Nov 2017 - 21:35

48

Views

Relation between twisted and untwisted rational cohomology of non oriented manifold.

Published on 07 Nov 2017 - 8:01

247

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Cup products in compactly supported and twisted cohomology of manifold.

Published on 08 Nov 2017 - 8:42

291

Views

How should I understand fundamental class of diagonal of product space

Published on 12 Nov 2017 - 14:33

204

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Why can any closed manifold be constructed a fundamental class of coefficient $\mathbb{Z/2Z}$?

Published on 11 Aug 2020 - 2:43

61

Views

"Homotopy theoretic" form of Poincaré duality

Published on 19 Aug 2020 - 9:54

427

Views

Definition of Poincare Duality: Integral descend to cohomology

Published on 07 Sep 2020 - 11:52

119

Views

Homology of a compact and orientable manifold boundary

Published on 08 Sep 2020 - 8:21

71

Views

Action on cohomology groups using Poincare duality

Published on 14 Sep 2020 - 17:28

50

Views

Co-H-spaces which are also Poincaré duality spaces

Published on 09 Oct 2020 - 13:53

205

Views

Cellular diagonal approximation

Published on 12 Oct 2020 - 15:16

637

Views

the difference between chains and cochains

Published on 30 Nov 2020 - 17:34

List Question

Why is the bilinear form on $H^d(X,\mathbb Q_{\ell})$ afforded by Poincaré duality alternating when $d = \dim(X)$ is odd?

Class in $H^1(T^2)$ that is not dual to closed 1-dim submanifold of $T^2$

Hatcher Corollary 3.39, making unstated assumptions?

Explicit description of Poincare dual of graph?

Relation between twisted and untwisted rational cohomology of non oriented manifold.

Cup products in compactly supported and twisted cohomology of manifold.

How should I understand fundamental class of diagonal of product space

Why can any closed manifold be constructed a fundamental class of coefficient $\mathbb{Z/2Z}$?

"Homotopy theoretic" form of Poincaré duality

Definition of Poincare Duality: Integral descend to cohomology

Homology of a compact and orientable manifold boundary

Action on cohomology groups using Poincare duality

Co-H-spaces which are also Poincaré duality spaces

Cellular diagonal approximation

the difference between chains and cochains

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