List questions from surgery-theory

82

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Reduced homology group $H_k(S^4 - N^4, \mathbb Z)=H^{4-k}(S^4 - N^4,\mathbb Z)=H_{k-1}(N^4, \mathbb Z)=\mathbb Z^2$?

Published on 30 Jan 2019 - 4:11

714

Views

Obtaining the three torus via Dehn surgery

Published on 22 Mar 2026 - 19:51

138

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Determining surfaces by self-gluing after removing interiors of two disks.

Published on 14 Jun 2019 - 20:45

34

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Exercice Quasiconformal Surgery (4.2.3)

Published on 17 Mar 2026 - 10:37

166

Views

Do higher-dimensional knots have interesting knot polynomials?

Published on 19 Sep 2019 - 10:30

501

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the knot surgery - from a $6^3_2$ knot to a $3_1$ trefoil knot

Published on 21 Apr 2014 - 19:22

250

Views

Why surgery produce a new 3-manifold?

Published on 24 Mar 2026 - 18:56

336

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Surgery results in a cylinder

Published on 23 Mar 2026 - 21:47

364

Views

Surgery and Euler Characteristic

Published on 22 Mar 2026 - 3:40

186

Views

Surgery presentations and gluing

Published on 22 Mar 2026 - 0:00

166

Views

How to get a Kirby diagram of $S^1 \times M^3$ if $M^3$ is given by a surgery diagram?

Published on 20 Mar 2026 - 2:21

1.2k

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Intuition for Exotic $\mathbb R^4$'s

Published on 22 Mar 2026 - 14:57

101

Views

Generalized Schoenflies - formalizing step in proof?

Published on 22 Mar 2026 - 19:44

142

Views

Why are embedded spheres removed in the connected sum but not in the handle attachment of (smooth) manifolds?

Published on 21 Mar 2026 - 21:48

246

Views

Confused about A. Kosinski's description of Surgery in his book "Differential Manifolds"

Published on 09 Mar 2026 - 22:18

List Question

Reduced homology group $H_k(S^4 - N^4, \mathbb Z)=H^{4-k}(S^4 - N^4,\mathbb Z)=H_{k-1}(N^4, \mathbb Z)=\mathbb Z^2$?

Obtaining the three torus via Dehn surgery

Determining surfaces by self-gluing after removing interiors of two disks.

Exercice Quasiconformal Surgery (4.2.3)

Do higher-dimensional knots have interesting knot polynomials?

the knot surgery - from a $6^3_2$ knot to a $3_1$ trefoil knot

Why surgery produce a new 3-manifold?

Surgery results in a cylinder

Surgery and Euler Characteristic

Surgery presentations and gluing

How to get a Kirby diagram of $S^1 \times M^3$ if $M^3$ is given by a surgery diagram?

Intuition for Exotic $\mathbb R^4$'s

Generalized Schoenflies - formalizing step in proof?

Why are embedded spheres removed in the connected sum but not in the handle attachment of (smooth) manifolds?

Confused about A. Kosinski's description of Surgery in his book "Differential Manifolds"

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