Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf Invariants for sectional category with applications to topological
  robotics   We develop a theory of generalized Hopf invariants in the setting of
sectional category. In particular we show how Hopf invariants for a product of
fibrations can be identified as shuffle joins of Hopf invariants for the
factors. Our results are applied in the study of Farber's topological
complexity for 2-cell complexes, as well as in the construction of a
counter-example to the analogue for topological complexity of Ganea's
conjecture on Lusternik-Schnirelmann category.

35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph