Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formality of k-connected spaces in 4k+3 and 4k+4 dimensions   Using the concept of s-formality we are able to extend the bounds of a
Theorem of Miller and show that a compact k-connected 4k+3- or 4k+4-manifold
with b_{k+1}=1 is formal. We study k connected n-manifolds, n= 4k+3, 4k+4, with
a hard Lefschetz-like property and prove that in this case if b_{k+1}=2, then
the manifold is formal, while, in 4k+3-dimensions, if b_{k+1}=3 all Massey
products vanish. We finish with examples inspired by symplectic geometry and
manifolds with special holonomy.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an