All Questions
Tagged with homotopy-theory stable-homotopy
261
questions
6
votes
1
answer
879
views
Serre spectral sequence with spectra
A friend recently asked me if i had heard anything about a stable Serre Spectral Sequence or one constructed with spectra, has any one else ever heard of this? is there any reason other than ...
- 3,696
15
votes
1
answer
1k
views
Complex orientations on homotopy
I am wondering if there is a more "geometric" formulation of complex orientations for cohomology theories than just a computation of $E^*\mathbb{C}$P$^{\infty}$ or a statement about Thom classes. It ...
- 3,696
15
votes
3
answers
2k
views
complex cobordism from formal group laws?
Reading Ravenel's "green book", I wonder about his question on p.15 "that the spectrum MU may be constructed somehow using formal group law theory without using complex manifolds or vector bundles. ...
- 10.8k
6
votes
2
answers
393
views
Reference for iterated homotopy fixed points?
What are (good) references for results about iterated homotopy fixed points? That is, suppose G is a topological group acting on a space (or spectrum) X, and H is a normal subgroup of G. Then one ...
- 3,083
14
votes
2
answers
927
views
squares in stable homotopy
I noticed that the generator of the second stable stem b is the square of the generator of the first stable stem a, in the sense that if take two copies of a and smash product them together you get b ...
- 1,387
9
votes
1
answer
604
views
Stable presentable categories as module categories
There is a theorem of Schwede and Shipley which classifies categories of modules over an A∞ ring spectrum as those stable presentable (∞,1)-categories with a compact generator. Suppose I ...
- 25k