Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit construction of Atiyah-Singer indices for maximally
  hypoelliptic operators on contact manifolds   The Atiyah-Singer index theorem gives a topological formula for the index of
an elliptic differential operator. Enlightening from Alain Connes' tangent
groupoid proof of the index theorem and van Erp's research for the Heisenberg
index theory on contact manifolds, we give an explicit construction of a series
of maps, whose induced map in K-theory is the Heisenberg Atiyah-Singer index
map on contact manifolds. Our methods derive from Higson's construction for
symbol class in K-theory.

1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th