User Bruno Martelli

12 votes

Accepted

Impossibility of realizing codimension 1 homology classes by embedded non-orientable hypersurfaces

answered Jan 28 at 14:31

9 votes

Computation on characteristic classes

answered Jan 30, 2023 at 16:16

8 votes

How many definitions are there of the Jones polynomial?

answered Jun 14, 2011 at 12:50

14 votes

In knot theory: Benefits of working in $S^3$ instead of $\mathbb{R}^3$?

answered Apr 27, 2011 at 19:48

14 votes

Is it possible to improve the Whitney embedding theorem?

answered Mar 6, 2011 at 21:16

4 votes

Accepted

How to distinguish Pretzel links with the same coefficients?

answered Nov 22, 2010 at 9:41

2 votes

A neighborhood of a 2-disc $D\subset\Bbb R^4$ that tapers off towards the boundary?

answered Sep 8, 2022 at 11:58

2 votes

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An equivalence relation on knots similar to concordance

answered Mar 19, 2022 at 7:15

41 votes

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Kirby calculus and local moves

answered Jan 13, 2011 at 8:47

6 votes

Injectivity of map of fundamental groups from totally geodesic hypersurface

answered Oct 19, 2021 at 12:10

6 votes

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Revisiting Gordon-Luecke theorem

answered Sep 16, 2021 at 17:02

15 votes

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Can we embed a closed manifold into a homotopy equivalent CW complex?

answered Aug 18, 2021 at 18:34

9 votes

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Dehn surgery along primitive knot in 3-dimensional handlebody

answered Mar 27, 2021 at 23:02

7 votes

An orientable non-spin${}^c$ manifold with a spin${}^c$ covering space

answered Oct 7, 2020 at 17:10

5 votes

Explicit cobordism between Wu manifold and Dold manifold P(1,2)?

answered Oct 7, 2020 at 16:51

6 votes

Cell structures of Dold manifold and Wu manifold

answered Oct 7, 2020 at 16:08

3 votes

Can triangulations (or some related combinatorial structure) distinguish smooth structures on $RP^4$?

answered Jun 17, 2020 at 14:29

9 votes

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Existence of fibered surfaces in arbitrary 4-manifolds?

answered Jan 21, 2020 at 7:14

3 votes

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Geometry of a manifold after Dehn filling, in terms of geometry pre-filling

answered Aug 21, 2019 at 12:20

5 votes

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Are Seifert fibered spaces with a horizontal surface exactly the surface bundles over the circle with periodic monodromy?

answered Aug 17, 2019 at 3:06

18 votes

Can knot diagrams be monotonically simplified using under moves?

answered Nov 4, 2014 at 14:15

10 votes

Irreducible homology 3-spheres that bound smooth contractible manifolds

answered Aug 11, 2012 at 22:55

3 votes

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Zero surgery on a Seifert fiber space

answered Mar 24, 2019 at 21:16

20 votes

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Can a smooth, immersed loop in R^2 become not nullhomotopic by removing a point?

answered Mar 11, 2011 at 10:34

3 votes

Non-collapsible complexes

answered Feb 26, 2019 at 15:05

5 votes

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Framings for 2-surgeries on 4-manifolds

answered Oct 31, 2018 at 7:42

7 votes

Classification of closed 3-manifolds with finite first homology group?

answered Sep 21, 2018 at 13:27

7 votes

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JSJ decomposition and classification of 3-manifolds

answered Sep 20, 2018 at 12:11

4 votes

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Seifert fiberings of zero euler number which are semi-bundles

answered Sep 18, 2018 at 9:36

4 votes

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Can one construct a regular neighborhood without an ambient space?

answered Jun 20, 2018 at 17:03

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92 Answers

Impossibility of realizing codimension 1 homology classes by embedded non-orientable hypersurfaces

Computation on characteristic classes

How many definitions are there of the Jones polynomial?

In knot theory: Benefits of working in $S^3$ instead of $\mathbb{R}^3$?

Is it possible to improve the Whitney embedding theorem?

How to distinguish Pretzel links with the same coefficients?

A neighborhood of a 2-disc $D\subset\Bbb R^4$ that tapers off towards the boundary?

An equivalence relation on knots similar to concordance

Kirby calculus and local moves

Injectivity of map of fundamental groups from totally geodesic hypersurface

Revisiting Gordon-Luecke theorem

Can we embed a closed manifold into a homotopy equivalent CW complex?

Dehn surgery along primitive knot in 3-dimensional handlebody

An orientable non-spin${}^c$ manifold with a spin${}^c$ covering space

Explicit cobordism between Wu manifold and Dold manifold P(1,2)?

Cell structures of Dold manifold and Wu manifold

Can triangulations (or some related combinatorial structure) distinguish smooth structures on $RP^4$?

Existence of fibered surfaces in arbitrary 4-manifolds?

Geometry of a manifold after Dehn filling, in terms of geometry pre-filling

Are Seifert fibered spaces with a horizontal surface exactly the surface bundles over the circle with periodic monodromy?

Can knot diagrams be monotonically simplified using under moves?

Irreducible homology 3-spheres that bound smooth contractible manifolds

Zero surgery on a Seifert fiber space

Can a smooth, immersed loop in R^2 become not nullhomotopic by removing a point?

Non-collapsible complexes

Framings for 2-surgeries on 4-manifolds

Classification of closed 3-manifolds with finite first homology group?

JSJ decomposition and classification of 3-manifolds

Seifert fiberings of zero euler number which are semi-bundles

Can one construct a regular neighborhood without an ambient space?