Free involutions on S1 × Sn

Mathematische Annalen

Volumn 351, Issue 2, 2011, Pages 281-303

  Jahren, Bjørn ^a   Kwasik, Sławomir ^b  

^a UNIVERSITY OF OSLO   (Norway)

^b Tulane University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052795648     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-010-0599-y     Document Type: Article

References (25)

1. Asoh T.: Classification of free involutions on surfaces. Hiroshima Math. J. 6, 171-181 (1976).
2. n. Math. Ann. 338, 947-962 (2007).
3. Browder W., Livesay G. R.: Fixed point free involutions on homotopy spheres. Tohôku Math. J. (2) 25, 69-87 (1973).
4. Cappell S.: A splitting theorem for manifolds. Invent. Math. 33, 69-170 (1976).
5. Connolly F., Ranicki A.: On the calculation of UNil. Adv. Math. 195(1), 205-258 (2005).
6. Connolly F., Davis J.: The surgery obstruction groups of the infinite dihedral group. Geom. Topol. 8, 1043-1078 (2004).
7. αT. Amer. J. Math. 95, 813-848 (1973).
8. Freedman, M., Quinn, F.: Topology of 4-manifolds. Princeton Math. Ser. 39 (1990).
9. Hutt S.: On Siebenmann periodicity. Pac. J. Math. 183, 291-303 (1998).
10. Jahren B., Kwasik S.: Three-dimensional surgery theory. UNil-groups and the Borel conjecture. Topology. 42, 1353-1369 (2003).
11. 4. Math. Proc. Cambridge Phil. Soc. 140(02), 245-252 (2006).
12. Kwasik S., Schultz R.: On s-cobordisms of metacyclic prism manifolds. Invent. Math. 97, 523-552 (1999).
13. Kirby, R. C., Taylor, L. R.: A survey of 4-manifolds through the eyes of surgery, Surveys in Surgery Theory, vol. 2, Ann. Math. Stud., vol. 149, Princeton, pp. 387-421 (2001).
14. Liang C.-C.: A concordance classification of p. l. homeomorphisms of real projective spaces. Math. Ann. 215, 47-58 (1975).
15. López de Medrano S.: Involutions on Manifolds. Springer, Berlin (1971).
16. Olum P.: Mappings of manifolds and the notion of degree. Ann. Math. 2. ser. 58, 458-480 (1953).
17. Ranicki, A.: Algebraic L-theory and Topological Manifolds, Tracts in Mathematics 102, Cambridge (1992).
18. Ranicki, A.: A composition formula for manifold structures. Pure Appl. Math. Q. 5 no. 2. Special issue: in honor of Friedrich Hirzebruch. Part 1, pp. 701-727 (2009).
19. Schultz R.: Homotopy decompositions of equivariant function spaces I. Math. Z. 131, 49-75 (1973).
20. Shaneson J. L.: Wall's surgery obstruction groups for G × Z. Ann. of Math. (2) 90, 296-334 (1969).
21. Siebenmann, L.: Periodicity in topological surgery, Foundational Essays. In: Kirby, R., Siebenmann, L. (eds.) Topological Manifolds. Princeton University Press, Princeton (1977).
22. Thomas, C. B., Wall, C. T. C.: The topological spherical space form problem I. Composit. Math., vol. 23, Fasc 1, pp. 101-114 (1971).
23. 2 and other 3-manifolds. Trans. Amer. Math. Soc. 183, 139-152 (1973).
24. Wall C. T. C.: Surgery on Compact Manifolds. Academic Press, New York (1970).
25. Yamaguchi, K.: The homotopy of spaces of maps between real projective spaces. J. Math. Soc. Japan, vol. 58 No. 4, pp. 1163-1184 (2006), and Erratum, J. Math. Soc. Japan, vol. 59, No. 4, pp. 1235-1237 (2007).