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Phys. Rev. D 44, 1763–1768 (1991)

Topology changes in (2+1)-dimensional quantum gravity

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Yoshihisa Fujiwara, Saburo Higuchi*, Akio Hosoya, Takashi Mishima, and Masaru Siino
Department of Physics, Tokyo Institute of Technology, Oh-Okayama Meguro-ku, Tokyo 152, Japan

Received 7 May 1991; published in the issue dated 15 September 1991

We study topology-changing processes in (2+1)-dimensional quantum gravity with a negative cosmological constant. By playing the "gluing-many-polyhedra game" for hyperbolic geometry, we explicitly construct an infinite number of different instantonlike solutions. These solutions can be used to evaluate various topology-changing amplitudes in the WKB approximation.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.44.1763
DOI:
10.1103/PhysRevD.44.1763
PACS:

*Electronic address: shiguchi@cc.titech.ac.jp.

Electronic address: ahosoya@cc.titech.ac.jp.