User skupers

46 votes

11 answers

6k views

What is the Cayley projective plane?

asked Oct 22, 2009 at 19:09

38 votes

3 answers

2k views

Lambda-operations on stable homotopy groups of spheres

asked Nov 4, 2012 at 18:16

27 votes

5 answers

3k views

Is there a Morse theory proof of the Bruhat decomposition?

asked Jun 17, 2010 at 21:11

26 votes

6 answers

2k views

Applications of string topology structure

asked Apr 1, 2010 at 10:21

24 votes

1 answer

1k views

When is a TQFT the dimensional reduction of a higher dimensional TQFT?

asked Jun 9, 2010 at 12:26

24 votes

3 answers

4k views

Is there a map of spectra implementing the Thom isomorphism?

asked Nov 20, 2010 at 23:43

22 votes

1 answer

780 views

Twistings for other cohomology theories

asked Jun 9, 2010 at 8:57

22 votes

1 answer

646 views

When does rationalization commute with homotopy fixed points?

asked Jun 12, 2019 at 22:57

17 votes

2 answers

2k views

Are the homology and cohomology Serre spectral sequences dual to each other?

asked Aug 6, 2010 at 11:20

17 votes

2 answers

1k views

What is the Hopf algebra structures in the homology of the based loop spaces of $E_7$ and $E_8$?

asked Aug 6, 2010 at 11:31

15 votes

3 answers

1k views

Are there graph models for other moduli spaces?

asked Dec 18, 2010 at 13:44

15 votes

2 answers

1k views

What is known about K-theory and K-homology groups of (free) loop spaces?

asked Oct 29, 2009 at 20:03

15 votes

2 answers

999 views

Are generalized cohomology theories a homotopy category of some category of invariants?

asked Oct 21, 2009 at 10:15

14 votes

3 answers

2k views

What are normalized singular chains good for?

asked Jun 10, 2010 at 18:10

14 votes

1 answer

613 views

What is the status of the PL-pseudoisotopy stability theorem?

asked Feb 8, 2013 at 3:19

14 votes

0 answers

310 views

Do Sullivan's and Wilkerson's algebraic group structures on rational homotopy automorphisms coincide?

asked Apr 6, 2022 at 13:31

12 votes

0 answers

367 views

Can Quillen-Lichtenbaum recover Borel's computation?

asked Nov 10, 2021 at 17:50

12 votes

0 answers

369 views

Is the quotient map of the action of homeomorphisms on embeddings well-behaved?

asked Jan 2, 2015 at 22:49

12 votes

1 answer

3k views

Which Riemann surfaces arise from the Riemann existence theorem?

asked Jan 25, 2011 at 21:32

11 votes

0 answers

183 views

"The TOP h-cobordism theorem without surgery??"

asked Jun 29, 2017 at 10:44

11 votes

1 answer

702 views

Status of the extended form of the Lichtenbaum conjecture

asked Sep 14, 2019 at 19:45

11 votes

1 answer

889 views

What does this naive attempt at $S^1$-equivariant homology describe?

asked Jul 27, 2010 at 21:46

10 votes

1 answer

358 views

A piecewise-linear or topological Fulton-MacPherson compactification

asked Oct 20, 2020 at 15:45

10 votes

1 answer

245 views

Maps between unitary little disks operads and non-unitary little disks operads

asked Nov 17, 2020 at 22:01

10 votes

0 answers

189 views

"Homotopy homomorphisms" of homeomorphisms of Euclidean space

asked Oct 25, 2022 at 21:03

9 votes

1 answer

329 views

Non-vanishing of the Borel classes in the cohomology of $\operatorname{SL}_n(\mathbb Z)$

asked Jul 14, 2017 at 21:32

9 votes

2 answers

768 views

Is the cohomology of a topological operad a cooperad?

asked Feb 22, 2010 at 19:14

8 votes

1 answer

433 views

A homological criterion for collapsibility?

asked Oct 22, 2014 at 18:48

8 votes

2 answers

891 views

What is the homotopy type of the space of simple closed curves isotopic to a given one?

asked Aug 21, 2012 at 21:30

7 votes

2 answers

595 views

Does there exist a potential which realizes this strange quantum mechanical system?

asked Aug 12, 2010 at 10:21

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44 Questions

What is the Cayley projective plane?

Lambda-operations on stable homotopy groups of spheres

Is there a Morse theory proof of the Bruhat decomposition?

Applications of string topology structure

When is a TQFT the dimensional reduction of a higher dimensional TQFT?

Is there a map of spectra implementing the Thom isomorphism?

Twistings for other cohomology theories

When does rationalization commute with homotopy fixed points?

Are the homology and cohomology Serre spectral sequences dual to each other?

What is the Hopf algebra structures in the homology of the based loop spaces of $E_7$ and $E_8$?

Are there graph models for other moduli spaces?

What is known about K-theory and K-homology groups of (free) loop spaces?

Are generalized cohomology theories a homotopy category of some category of invariants?

What are normalized singular chains good for?

What is the status of the PL-pseudoisotopy stability theorem?

Do Sullivan's and Wilkerson's algebraic group structures on rational homotopy automorphisms coincide?

Can Quillen-Lichtenbaum recover Borel's computation?

Is the quotient map of the action of homeomorphisms on embeddings well-behaved?

Which Riemann surfaces arise from the Riemann existence theorem?

"The TOP h-cobordism theorem without surgery??"

Status of the extended form of the Lichtenbaum conjecture

What does this naive attempt at $S^1$-equivariant homology describe?

A piecewise-linear or topological Fulton-MacPherson compactification

Maps between unitary little disks operads and non-unitary little disks operads

"Homotopy homomorphisms" of homeomorphisms of Euclidean space

Non-vanishing of the Borel classes in the cohomology of $\operatorname{SL}_n(\mathbb Z)$

Is the cohomology of a topological operad a cooperad?

A homological criterion for collapsibility?

What is the homotopy type of the space of simple closed curves isotopic to a given one?

Does there exist a potential which realizes this strange quantum mechanical system?