Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On characteristic classes of exotic manifold bundles   Given a closed simply connected manifold $M$ of dimension $2n\ge6$, we
compare the ring of characteristic classes of smooth oriented bundles with
fibre $M$ to the analogous ring resulting from replacing $M$ by the connected
sum $M\sharp\Sigma$ with an exotic sphere $\Sigma$. We show that, after
inverting the order of $\Sigma$ in the group of homotopy spheres, the two rings
in question are isomorphic in a range of degrees. Furthermore, we construct
infinite families of examples witnessing that inverting the order of $\Sigma$
is necessary.

18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga