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Results tagged with reference-request
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user 4991
This tag is used if a reference is needed in a paper or textbook on a specific result.
5
votes
Reference for functors in Kadeishvili's C_\infty paper
Ben Walter and I make the functors $\Gamma$ and $A$ more explicit, by using an explicit model for the cofree Lie Coalgebra functor, in this paper. We do not discuss the application to $\infty$-algebr …
- 2,821
13
votes
Detailed proof of cup product equivalent to intersection
Bott and Tu do this completely, in the de Rham theoretic setting of course.
Here's an alternate proof I have used when I teach this material, which I find slightly more clean and direct than using Tho …
- 4,990
19
votes
Modern survey of unstable homotopy groups?
Behrens's monograph "The Goodwillie tower and the EHP sequence" reproduces some of the Toda calculations (out to the k~20 range as you cite) using a modern toolset, as named in the title. Depending o …
- 1,185
7
votes
1
answer
2k
views
Tensor products of permutation representations of symmetric groups.
I am looking for a reference for the following fact which must be classical (which makes it harder, for me, to track a reference down). I am interested because there are similar (more complicated) st …
- 3,571
11
votes
1
answer
564
views
The space of compact subspaces of $R^\infty$ homotopy equivalent to a given finite complex.
Let $X$ be a finite (CW or simplicial - doesn't matter) complex and consider the space of all compact subspaces of $R^\infty$ which are homotopy equivalent to $X$, topologized say as a subspace of the …
- 4,990
14
votes
2
answers
1k
views
Dyer-Lashof based spectral sequence for homotopy classes of maps between infinite loop space...
The homology of an infinite loop space, which represents a spectrum, is an algebra over the Dyer-Lashof algebra (see for example Cohen-Lada-May's Springer volume, or for part of the story the more acc …
- 498
7
votes
Is there any analogs of Vassiliev invariants in higher dimensions?
The best work I know of along these lines was by Rossi, a student of Cattaneo, which is explained here:
http://www.math.uzh.ch/fileadmin/math/preprints/07-05.pdf
There are a number of interrelated vi …
- 4,990
16
votes
References for homotopy colimit
Dan Dugger wrote the following intended for grad students (just a draft - not on the arxiv yet): http://www.uoregon.edu/~ddugger/hocolim.pdf
- 4,990
4
votes
Burnside ring and zeroth G-equivariant stem for finite G
Here's a conceptual answer, which can be filled in to give a proof. First, go back to the non-equivariant setting: why is $\pi_0(S) = \lim \pi_N(S^N) \cong {\mathbb Z}$? because one can use transver …
- 4,990