Reinhard Schultz Publications
Technical Publications
Journal Articles
1. Schultz, R. 1969. Smooth structures on SP X Sq,. Ann. Math 90. p.187-198. 12p. (Refereed)
2. Schultz, R. 1969. Smoothings of sphere bundles over spheres in the stable range. Invent. Math 9. p.81-88. 8p. (Refereed)
3. Schultz, R. 1971. On the inertia group of a product of spheres. Trans. Amer. Math. Soc. 156. p.137-153. 17p. (Refereed)
4. Schultz, R. 1971. The nonexistence of free circle actions on some homotopy spheres. Proc. Amer. Math. Soc. 27. p.595-597. 3p. (Refereed)
5. Schultz, R. 1971. Improved estimates for the degree of symmetry of certain homotopy spheres. Topology 10. p.227-235. 9p. (Refereed)
6. Schultz, R. 1971. Some results on topological manifolds, (Reprinted and updated, Selected Papers on Geometry (R. W. Brink Mathematical Papers, Vol. 4) 234-246; Mathematical Association of America, Washington, D. C., 1979. Amer. Math Monthly 78. p.941-952. 12p. (Refereed)
7. Schultz, R. 1971. Semifree circle actions and the degree of symmetry of homotopy spheres. Amer. J. Math 93. p.829-839. 11p. (Refereed)
8. Schultz, R. 1972. Composition constructions on diffeomorphisms of SP X Sq. Pac. J. Math. 42. p.739-754. 16p. (Refereed)
9. Schultz, R. 1972. Circle actions on homotopy spheres bounding plumbing manifolds. Proc. Amer. Math. Soc. 36. p.297-300. 4p. (Refereed)
10. Schultz, R. 1973. Homotopy decomposition of eqivariant function spaces I: Spaces of principal bundle maps. Math. Zeitschrift 131. p.49-75. 27p. (Refereed)
11. Schultz, R. 1973. Spaces of equivariant self maps of spheres . Bull Amer. Math. Soc. 79. p.158-162. 5p. (Refereed)
12. Schultz, R. 1973. Circle actions on homotopy spheres bounding generalized plumbing manifolds. Math Ann. 205. p.201-210. 10p. (Refereed)
13. Schultz, R. 1973. Homotopy decompositions of equivariant function spaces II: Function spaces of equivariantly triangulated spaces. Math Zeitschrift 132. p.69-90. 22p. (Refereed)
14. Schultz, R. 1974. Homotopy sphere pairs admitting semifree differentiable actions. Amer. J. Math 96. p.308-323. 16p. (Refereed)
15. Schultz, R. 1974. Rational h-cobordism invariants for lens space bundles. Quart. J. Math. Oxford (2) 25 . p.497-512. 16p. (Refereed)
16. Schultz, R. 1974. Differentiable Zp -actions on homotopy spheres. Bull. Amer. Math. Soc. 81. p.961-964. 4p. (Refereed)
17. Schultz, R., Becker, J.C. 1974. Equivariant function spaces and stable homotopy theory. Comment. Math. Helv. 49. p.1-34. 34p. (Refereed)
18. Schultz, R. 1975. Differential Group Actions on Homotopy Spheres I: Differential Structure and the Knot Invariant. Invent. Math. 31. p.105-128. (Refereed)
19. Schultz, R. 1975. Circle actions on homotopy spheres not bounding spin manifolds. Trans. Amer. Math. Soc. 213. p.89-98. 10p. (Refereed)
20. Schultz, R. 1977. On the topological classification linear representations. Topology 16. p.263-269. (Non-Refereed)
21. Schultz, R. 1978. Homological transfers for orbit space projections. Manuscr. Math. 24. p.228-238. (Non-Refereed)
22. Schultz, R. 1981. Group actions on hypertoral manifolds II. J. reine angew. Math. 325. p.75-86. (Refereed)
23. Schultz, R. 1981. Differentiable group actions on homotopy spheres II: Ultrasemifree actions. Trans. Amer. Math Soc. 268. p.105-128. (Refereed)
24. Schultz, R. 1981. Compact fiberings of homogeneous spaces I. Comp. Math. 42. p.75-86. (Refereed)
25. Schultz, R., Donnelly, H. 1982. Compact group actions and maps into aspherical manifolds. Topology 21. p.443-455. (Refereed)
26. Schultz, R., Becker, J.C. 1982. The real semicharacteristic of a fibered manifold. Quart. J. Math. Oxford. p.385-403. (Refereed)
27. Schultz, R. 1983. Differentiable group actions on homotopy sphers III: Invariant subsphers and smooth suspensions. Trans. Amer. Math. Soc. 275. p.729-750. (Refereed)
28. Schultz, R. 1984. Nonlinear analogs of linear group actions on spheres. Bull. Amer. Math. Soc (2) 11. p.263-285. (Refereed)
29. Schultz, R. 1985. A converse to the P.A. Smith theorem for nonunitary homology spheres. Manuscr. Math. 51. p.171-199. (Refereed)
30. Schultz, R., Dovermann, K.H., Masuda, M. 1986. Conjugation involutions on homotopy complex projective spaces. Japaneses J. Math 12. p.1-34. (Refereed)
31. Schultz, R. 1987. Homology sphers as stationary sets of circle actions. Mich. Math J. 34. p.83-100. (Refereed)
32. Schultz, R., Dovermann, K.H. 1987. Surgery of involutions with middle-dimensional fixed point set. Pac. J. Math. 130. p.275-297. (Refereed)
33. Schultz, R., Kwasik, S. 1988. Desuspencion of group actions and the ribbon theorem. Topology 27. p.443-457. (Refereed)
34. Schultz, R., Kwasik, S. 1989. On s-corbordisms of metacyclic prism manifolds. Invent. Math 97. p.523-552. (Refereed)
35. Schultz, R., Kwasik, S. 1989. Homological properties of periodic homeomorphisms of 4-manifolds. Duke Math. J. p.241-250. (Refereed)
36. Schultz, R. 1989. A splitting theorem for manifolds with involution and two applications. J. London Math. Soc. (2) 39. p.186-192. (Refereed)
37. Schultz, R., Kwasik, S. 1990. Psuedofree group actions on S4. Amer. J. Math 112. p.47-70. (Refereed)
38. Schultz, R., Buchdahl, N.P., Kwasik, S. 1990. One Fixed point actions on low-dimensional spheres. Invent. Math. 102. p.633-662. (Refereed)
39. Schultz, R., Kwasik, S. 1991. Topological psudeofree actions on sphers. Math. Proc. Camb. Philos. Soc 103. p.433-450. (Refereed)
40. Schultz, R., Kwasik, S. 1991. Icosahedral group actions on R3. Invent. Math 108. p.385-402. (Refereed)
41. Schultz, R., Kwasik, S. 1992. Vanishing of Whitehead torsion in dimension four. Topology 31. p.235-256. (Refereed)
42. Schultz, R., Kwasik, S. 1993. Unitary nilpotent groups and the stability of pseudo-isotopies. Duke Math. J. 71. p.871-887. (Refereed)
43. Schultz, R., Kwasik, S. 1994. Finite restrictions of pseudofree circle actions on 4-manifolds. Quart. J. Math. Oxford (2) 45. p.227-241. (Refereed)
44. Schultz, R., Masuda, M. 1994. Generalized Rochilin Invariants of fixed point sets. Osaka J. Math. 31. p.387-402. (Refereed)
45. Schultz, R., Kwasik, S. 1995. K2 invariants of 3-dimensional pseudo-isotopies. Duke Math. J. 78. p.359-371. (Refereed)
46. Schultz, R., Kwasik, S. 1995. One fixed point actions and homology 3-spheres. Amer. J. Math. 117. p.801-827. (Refereed)
47. Schultz, R., Kwasik, S. 1995. Visible surgery, 4-dimenional s-cobordisms, and related questions in gometric topololgy. K-theory 9. p.323-352. (Refereed)
48. Schultz, R., Kwasik, S. 1996. Fake spherical spaceforms with constant positive scalar curvature. Comment. Math. Helv. 71. p.1-40. (Refereed)
49. Schultz, R., Kwasik, S. 1996. FUndamental groups of 4-mainfolds with circle actions. Math. Proc. Camb. Philos. Soc. 119. p.645-655. (Refereed)
50. Schultz, R., Masuda, M. 1996. Invariants of Atiyah-Singer type. classifications up to finite ambiguity, and equivariant inertia groups. Indiana Univ. Math. J. 45. p.545-581. (Refereed)
51. Schultz, R. 1997. Positive scalar curvature and odd order abelian fundamental groups. Proc. Amer. Math. Soc. 125. p.907-915. (Refereed)
52. Schultz, R., Kwasik, S. 1997. Isolated fixed points of circle actions onf 4-manifolds. Forum Math. 9. p.517-546. (Refereed)
53. Schultz, R., Kwasik, S. 1997. inductive detection of homotopy equivalences of manifolds. k-theory 11. p.287-306. (Refereed)
54. Schultz, R., Ferdinands, R.D. 1997. Algebraic fiberings of Grassmann varieties . Ill. J. Math. 41. p.31-53. (Refereed)
55. Schultz, R., Becker, J.C. 1998. Axioms for bundle transfers and traces. Math. Zeitschrift 227. p.583-605. (Refereed)
56. Schultz, R., Masuda, M. 1999. On the nonuniqueness of equivariant connected sums. Math. Soc. Japan 51. p.413-435. (Refereed)
57. Schultz, R., Kwasik, S. 1999. On h-cobordisms of spherical spaceforms. Proc. Amer. Math. Soc. 127. p.1525-1532. (Refereed)
58. Schultz, R., Kwasik, S., Haynes, R., Mast, J. 2002. Periodic maps of R7 without fixed points. Math. Proc. Cambridge Philos. Soc. 132. p.131-136. (Refereed)
59. Schultz, R., Kwasik, S. 2002. All Zq lens spaces have diffeomorphic squares. Topology 41. p.321-340. (Refereed)
60. Schultz, R., Kwasik, S. 2004. Toral and exponential stabilization for homotopy spherical spaceforms. Math. Proc. Cambridge Philos. Soc. 137. p.571-593. (Refereed)
(Submitted)
1. Schultz, R., Kwasik, S. Cartesian powers of 3-manifolds. Topology Appl. (Submitted 08/22/2005.) (Refereed)
2. Schultz, R. Isovariant mappings of degree 1 and the Gap Hypothesis. Algebraic And Geometric Topology. (Submitted 09/28/2005.) (Refereed)
Conference and Symposia Proceedings
1. Schultz, R. 1982. Differentiability and the P.A. Smith theorem for spheres I: Actions of prime order groups. Canad. Math. Sco. Conf. Proc. 2 Part 2. p.235-273. Conference on Current Trends in Alegebraic Topology. Univ. of Western Ontario. (Refereed, )
2. Schultz, R. 1983. Exotic spheres admitting circle actions with codimension four stationary sets. Contemp. Math 19. p.339-368. Northwestern Homotopy Theory Conference. (Refereed, )
3. Schultz, R., Loffler, P. 1983. Equivariant Frameability of homotopy linear circle actions on spheres. Contemp. Math 36. p.119-122. (Refereed, )
4. Schultz, R., Dovermann, K.H., Petrie, T. 1983. Transformation groups and fixed poin data. Contemp. Math. 36. p.161-191. (Refereed, )
5. Schultz, R., Raymond, F. 1985. The work and influence of Deane Montgomery. Contemp. Math 36. p.1-15. (Refereed, )
6. Schultz, R. 1985. Transformation groups and exotic spheres. Contemp. Math 36. p.245-269. A.M.S. Summer Researc Conference on Group Actions. (Refereed, )
7. Schultz, R. 1992. Isovariant Homotopy theory and differentiable group actions. Proceedings of KAIST Mathematics Workshops 7. p.81-148. (Refereed, )