Compactification, topology change and surgery theory

Classical and Quantum Gravity

Volumn 20, Issue 14, 2003, Pages 3093-3106

  Hartnoll, Sean A ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038034642     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/20/14/312     Document Type: Article

References (31)

1. Tipler F J 1985 Topology change in Kaluza-Klein and superstring theories Phys. Lett. B 165 67
2. Hawking S W 1978 Quantum gravity and path integrals Phys. Rev. D 18 1747
3. Vilenkin A 1994 Approaches to quantum cosmology Phys. Rev. D 50 2581 (Preprint gr-qc/9403010)
4. Geroch R P 1967 Topology in general relativity J. Math. Phys. 8 782
5. Louko J and Sorkin R D 1997 Complex actions in two-dimensional topology change Class. Quantum Grav. 14 179 (Preprint gr-qc/9511023)
6. Horowitz G T 1991 Class. Quantum Grav. 8 587
7. Dowker F and Surya S 1998 Topology change and causal continuity Phys. Rev. D 58 124019 (Preprint gr-qc/9711070)
8. Borde A, Dowker H F, Garcia R S, Sorkin R D and Surya S 1999 Causal continuity in degenerate spacetimes Class. Quantum Grav. 16 3457 (Preprint gr-qc/9901063)
9. Dowker H F, Garcia R S and Surya S 2000 Morse index and causal continuity: A criterion for topology change in quantum gravity Class. Quantum Grav. 17 697 (Preprint gr-qc/9910034)
10. Dowker H F and Garcia R S 1998 A handlebody calculus for topology change Class. Quantum Grav. 15 1859 (Preprint gr-qc/9711042)
11. Ionicioiu R 1997 Building blocks for topology change in 3D (Preprint gr-qc/9711069)
12. Alty L J 1995 Building blocks for topology change J. Math. Phys. 36 3613
13. Konstantinov M Y and Melnikov V N 1986 Topological transitions in the theory of space-time Class. Quantum Grav. 3 401
14. Ionicioiu R 1997 Topology change from Kaluza-Klein dimensions (Preprint gr-qc/9709057)
15. Rotman J J 1988 An Introduction to Algebraic Topology (New York: Springer)
16. Maunder C R F 1970 Algebraic Topology (New York: Dover)
17. Milnor J 1962 A survey of cobordism theory Enseign. Math. 8 16
18. Milnor J W and Stasheff J D 1974 Characteristic Classes (Princeton, NJ: Princeton University Press)
19. Milnor J 1961 A procedure for killing homotopy groups of differentiable manifolds Proc. Sympos. Pure Math. vol III pp 39-55
20. Wallace A H 1960 Modifications and cobounding manifolds Can. J. Math. 12 503
21. Milnor J 1965 Lectures on the h-Cobordism Theorem (Princeton, NJ: Princeton University Press)
22. Rourke C P and Sanderson B J 1972 Introduction to Piecewise-Linear Topology (Berlin: Springer)
23. Milnor J 1963 Morse Theory (Princeton, NJ: Princeton University Press)
24. Hawking S W and Sachs R K 1974 Causally continuous spacetimes Commun. Math. Phys. 35 287
25. Kervaire M A and Milnor J W 1963 Groups of homotopy spheres: I Ann. Math. 77 504
26. Wall C T C 1962 Killing the middle homotopy groups of odd dimensional manifolds Trans. Am. Math. Soc. 103 421
27. Gregory R and Laflamme R 1993 Black strings and P-branes are unstable Phys. Rev. Lett. 70 2837 (Preprint hep-th/9301052)
28. Kol B 2002 Topology change in general relativity and the black-hole black-string transition Preprint hep-th/0206220
29. Wiseman T 2002 From black strings to black holes (Preprint hep-th/0211028)
30. Gibbons G and Hartnoll S A 2002 A gravitational instability in higher dimensions Phys. Rev. D 66 064024 (Preprint hep-th/0206202)
31. Gibbons G W, Hartnoll S A and Pope C N 2002 Bohm and Einstein-Sasaki metrics, black holes and cosmological event horizons (Preprint hep-th/0208031)