Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology Changes by Quantum Tunneling in Four Dimensions   We investigate topology-changing processes in 4-dimensional quantum gravity
with a negative cosmological constant. By playing the ``gluing-polytope game"
in hyperbolic geometry, we explicitly construct an instanton-like solution
without singularity. Because of cusps, this solution is non-compact but has a
finite volume. Then we evaluate a topology change amplitude in the WKB
approximation in terms of the volume of this solution.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph