User Sebastian Goette - MathOverflow

19 votes

Accepted

Can a complete manifold have an uncountable number of ends?

answered Dec 18, 2015 at 15:35

18 votes

Atiyah-Singer theorem-a big picture

answered May 23, 2017 at 8:39

18 votes

Accepted

Are there topological versions of the idea of divisor?

answered Jun 13, 2017 at 22:25

15 votes

Accepted

Is it true that all sphere bundles are some double of disk bundle?

answered May 20, 2016 at 8:40

15 votes

Sophisticated treatments of topics in school mathematics

answered Dec 7, 2015 at 19:23

13 votes

Index of a family of operators

answered Jan 4, 2016 at 11:00

13 votes

Hodge de Rham operator and orientability

answered Jan 6, 2016 at 21:04

13 votes

A dictionary of Characteristic classes and obstructions

answered Jan 26, 2016 at 13:03

13 votes

Multiplicative structure on spectral sequence

answered Feb 15, 2016 at 19:15

12 votes

Cap product on Leray-Serre spectral sequences

answered Feb 15, 2016 at 20:40

10 votes

Solving algebraic problems with topology

answered Feb 4, 2016 at 13:25

10 votes

Atiyah Singer index theorem and Hodge de Rham operator

answered Oct 1, 2015 at 15:48

10 votes

Atiyah-Patodi-Singer Eta invariant and Chern-Simons form

answered May 3, 2016 at 17:19

10 votes

Accepted

Motivations for the study of dual connections

answered Jun 12, 2017 at 6:40

10 votes

Accepted

Is every metric uniformly close to a metric with negative scalar curvature?

answered Sep 3, 2019 at 20:10

9 votes

Conjugacy of matrices of order three in $PGL(2,k)$, where $k$ is any field

answered Nov 9, 2015 at 7:34

9 votes

Automorphism group of real orthogonal Lie groups

answered Apr 9, 2016 at 19:39

9 votes

Accepted

Non-diffeomorphic smooth structures on the quotient of a manifold by an integrable distribution

answered Apr 23, 2016 at 18:17

8 votes

The mean of points on a unit n-sphere $S^n$

answered Feb 18, 2016 at 13:53

8 votes

Accepted

Relative Characteristic classes

answered Dec 17, 2015 at 8:51

8 votes

Accepted

geodesic of $\rm SO(3)$ as a compact Lie group vs as a Riemannian symmetric space

answered Nov 3, 2015 at 14:26

8 votes

The concept of duality

answered Feb 20, 2017 at 17:29

8 votes

Accepted

Index Theorem for the Twisted Dirac Operator

answered Apr 7, 2017 at 0:11

7 votes

Accepted

On the isometry group of a self cartesian product of a Riemannian space

answered Feb 7, 2017 at 21:02

7 votes

Some intuition behind the five lemma?

answered Feb 13, 2016 at 20:25

7 votes

Accepted

Spin Structures for Quaternionic-Kaehler and Hyper-Kaehler Manifolds

answered Oct 9, 2015 at 18:09

7 votes

Your favorite surprising connections in mathematics

answered Feb 3, 2016 at 23:02

6 votes

Multiplicative Structure of the Atiyah-Hirzebruch/Leray-Serre spectral sequence

answered Feb 15, 2016 at 19:22

6 votes

Accepted

Existence of $SO(n)$-isotropic inner products which are not $O(n)$-isotropic

answered Jan 28, 2016 at 19:19

6 votes

Further directions of index theory

answered Mar 28, 2016 at 19:45

Stack Exchange Network

112 Answers

Can a complete manifold have an uncountable number of ends?

Atiyah-Singer theorem-a big picture

Are there topological versions of the idea of divisor?

Is it true that all sphere bundles are some double of disk bundle?

Sophisticated treatments of topics in school mathematics

Index of a family of operators

Hodge de Rham operator and orientability

A dictionary of Characteristic classes and obstructions

Multiplicative structure on spectral sequence

Cap product on Leray-Serre spectral sequences

Solving algebraic problems with topology

Atiyah Singer index theorem and Hodge de Rham operator

Atiyah-Patodi-Singer Eta invariant and Chern-Simons form

Motivations for the study of dual connections

Is every metric uniformly close to a metric with negative scalar curvature?

Conjugacy of matrices of order three in $PGL(2,k)$, where $k$ is any field

Automorphism group of real orthogonal Lie groups

Non-diffeomorphic smooth structures on the quotient of a manifold by an integrable distribution

The mean of points on a unit n-sphere $S^n$

Relative Characteristic classes

geodesic of $\rm SO(3)$ as a compact Lie group vs as a Riemannian symmetric space

The concept of duality

Index Theorem for the Twisted Dirac Operator

On the isometry group of a self cartesian product of a Riemannian space

Some intuition behind the five lemma?

Spin Structures for Quaternionic-Kaehler and Hyper-Kaehler Manifolds

Your favorite surprising connections in mathematics

Multiplicative Structure of the Atiyah-Hirzebruch/Leray-Serre spectral sequence

Existence of $SO(n)$-isotropic inner products which are not $O(n)$-isotropic

Further directions of index theory