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Aaron Mazel-Gee's user avatar
Aaron Mazel-Gee's user avatar
Aaron Mazel-Gee's user avatar
Aaron Mazel-Gee
  • Member for 14 years, 8 months
  • Last seen more than a month ago
76 votes
9 answers
15k views

understanding Steenrod squares

36 votes
12 answers
3k views

Probabilistic knot theory

36 votes
2 answers
4k views

How can we detect the existence of almost-complex structures?

23 votes
0 answers
459 views

Topological loops vs. algebro-geometric suspension in Hochschild homology

20 votes
1 answer
1k views

holomorphic K-theory

18 votes
4 answers
2k views

Can one use Atiyah-Singer to prove that the Chern-Weil definition of Chern classes are $\mathbb{Z}$-cohomology classes?

18 votes
3 answers
4k views

Cohomology and Eilenberg-MacLane spaces

16 votes
7 answers
2k views

two conjugate subgroups and one is a proper subset of the other? plus, a covering space interpretation.

16 votes
2 answers
4k views

How should I think about delooping?

15 votes
2 answers
1k views

Is there a unified reason that there are an infinite number of geodesics between nonconjugate points on a compact manifold?

15 votes
2 answers
1k views

$RO(G)$-graded homotopy groups vs. Mackey functors

13 votes
1 answer
2k views

What is the universal deformation of the formal additive group $\widehat{\mathbb{G}}_a$ over $\mathbb{F}_p$?

12 votes
4 answers
2k views

Is there an easy way to describe the sheaf of smooth functions on a product manifold?

11 votes
3 answers
699 views

Relationship between universal coefficient theorem and $[K(\mathbb{Z},n), K(G,n)]$?

10 votes
2 answers
703 views

How does the cokernel of the J-homomorphism count exotic spheres?

10 votes
1 answer
331 views

The bifunctoriality of co/limits

9 votes
0 answers
634 views

toy examples of equivariant homotopy theory

9 votes
3 answers
484 views

"The Z/2-cohomology functor from Top to GrVecSpaces factors through Unstable-A-Mod, and this is the largest algebraic category through which it factors."

9 votes
3 answers
695 views

references / general idea of kervaire invariant problem

9 votes
1 answer
683 views

homological algebra with spectra

9 votes
4 answers
848 views

easy(?) probability/diff eq. question

8 votes
2 answers
1k views

visualizing what's going on in based homotopy theory, et al.

8 votes
1 answer
390 views

How can I see that $H\mathbb{Z}$ doesn't admit a Bousfield complement?

8 votes
1 answer
486 views

If $A\in \mbox{Rings}\subset E_\infty\mbox{-rings}$, what is the equivalence between objects of $\mathcal{D}(\mbox{Mod}_A)$ and $A$-module spectra?

7 votes
1 answer
413 views

On the natural (bigraded) homotopy groups of a simplicial object in a model category

7 votes
2 answers
3k views

the hopf invariant of the hopf construction

6 votes
4 answers
1k views

What is known about the intersection pairing on H^{mid}?

6 votes
2 answers
383 views

For a quasicategory $C$, why is $\mathrm{Fun}(\Lambda^2_0,C) \to \mathrm{Fun}(\Delta^{\{2\}},C) \cong C$ a cocartesian fibration?

5 votes
0 answers
197 views

relationships between properties of model categories

5 votes
1 answer
430 views

reference request: John Baez on (-1)- and (-2)-categories and properties+structure+stuff