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skupers
  • Member for 13 years, 1 month
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46 votes
11 answers
5k views

What is the Cayley projective plane?

38 votes
3 answers
2k views

Lambda-operations on stable homotopy groups of spheres

27 votes
5 answers
3k views

Is there a Morse theory proof of the Bruhat decomposition?

26 votes
6 answers
2k views

Applications of string topology structure

24 votes
3 answers
3k views

Is there a map of spectra implementing the Thom isomorphism?

23 votes
1 answer
1k views

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

22 votes
1 answer
726 views

Twistings for other cohomology theories

22 votes
1 answer
561 views

When does rationalization commute with homotopy fixed points?

17 votes
2 answers
2k views

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

17 votes
2 answers
1k views

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

15 votes
3 answers
1k views

Are there graph models for other moduli spaces?

15 votes
2 answers
1k views

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

14 votes
2 answers
927 views

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

14 votes
3 answers
2k views

What are normalized singular chains good for?

14 votes
1 answer
580 views

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

14 votes
0 answers
286 views

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

12 votes
0 answers
358 views

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

12 votes
1 answer
3k views

Which Riemann surfaces arise from the Riemann existence theorem?

11 votes
0 answers
162 views

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

11 votes
1 answer
495 views

Status of the extended form of the Lichtenbaum conjecture

11 votes
1 answer
797 views

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

11 votes
0 answers
312 views

Can Quillen-Lichtenbaum recover Borel's computation?

9 votes
0 answers
164 views

"Homotopy homomorphisms" of homeomorphisms of Euclidean space

9 votes
1 answer
300 views

A piecewise-linear or topological Fulton-MacPherson compactification

9 votes
1 answer
206 views

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

9 votes
1 answer
313 views

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

8 votes
1 answer
383 views

A homological criterion for collapsibility?

8 votes
2 answers
741 views

Is the cohomology of a topological operad a cooperad?

7 votes
1 answer
692 views

Can string topology be a open-closed TCFT with the full set of branes?

7 votes
2 answers
511 views

Can one calculate the (co)homology of the loopspace of a Lie group from its Lie algebra?