@article{PMIHES_1982__56__101_0, author = {Cappell, Sylvain E. and Shaneson, Julius L.}, title = {The topological rationality of linear representations}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {101--128}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {56}, year = {1982}, mrnumber = {686043}, zbl = {0507.57028}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1982__56__101_0/} }
TY - JOUR AU - Cappell, Sylvain E. AU - Shaneson, Julius L. TI - The topological rationality of linear representations JO - Publications Mathématiques de l'IHÉS PY - 1982 SP - 101 EP - 128 VL - 56 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1982__56__101_0/ LA - en ID - PMIHES_1982__56__101_0 ER -
%0 Journal Article %A Cappell, Sylvain E. %A Shaneson, Julius L. %T The topological rationality of linear representations %J Publications Mathématiques de l'IHÉS %D 1982 %P 101-128 %V 56 %I Institut des Hautes Études Scientifiques %U http://archive.numdam.org/item/PMIHES_1982__56__101_0/ %G en %F PMIHES_1982__56__101_0
Cappell, Sylvain E.; Shaneson, Julius L. The topological rationality of linear representations. Publications Mathématiques de l'IHÉS, Tome 56 (1982), pp. 101-128. http://archive.numdam.org/item/PMIHES_1982__56__101_0/
[A] Ordinary Differential Equations, Cambridge, MIT Press, 1973. | MR | Zbl
,[Ad] Lectures on Lie Groups, New York, Benjamin, Inc., 1969. | MR | Zbl
,[AB] A Lefschetz fixed point formula for elliptic complexes : II. Applications, Ann. of Math., 88 (1968), 451-491. | MR | Zbl
and ,[AS] The index of elliptic operators, III, Ann. of Math., 87 (1968), 546-604. | MR | Zbl
and ,[Bre 1] Representations at fixed points of smooth actions of compact groups, Ann. of Math., 89 (1969), 512-532. | MR | Zbl
,[Bre 2] Introduction to compact transformation groups, New York, Academic Press, 1972. | MR | Zbl
,[CKP] The topology of holomorphic flows with singularity, Publ. Math. I.H.E.S., 48 (1979), 5-38. | Numdam | MR | Zbl
, , ,[CR] Representation theory of finite groups and associative algebras, New York, Interscience-Wiley, 1962. | MR | Zbl
and ,[CS 1] Pseudo-free group actions I, Proc. of the Aarhus Topology Conference of 1978, Springer Lecture Notes in Math., 763 (1979), 395-447. | MR | Zbl
and ,[CS 2] Linear Algebra and Topology, Bull. Amer. Math. Soc., New Series, 1 (1979), 685-687. | MR | Zbl
and ,[CS 3] Nonlinear similarity of matrices, Bull. Amer. Math. Soc., New Series, 1 (1979), 899-902. | MR | Zbl
and ,[CS 4] Nonlinear similarity, Ann. of Math., 113 (1981), 315-355. | MR | Zbl
and ,[CS 5] Fixed points of periodic smooth maps, Proc. National Acad. of Sci. USA, 77 (1980), 5052-5054. | MR | Zbl
and ,[CS 6] Fixed points of periodic differentiable maps (to appear). | Zbl
and ,[CS 7] The geometry of linear representations of groups and subgroups (to appear in Amer. Jour. of Math.).
and ,[CS 8] Matrices, topology, and elementary number theory (to appear).
and ,[CS 9] Nonlinear similarity and linear similarity are the same in dimensions less than 6 (to appear). | Zbl
and ,[CS 10] Class numbers and periodic smooth maps (to appear). | Zbl
and ,[DeR 1] Sur les nouveaux invariants topologiques de M. Reidemeister, International Conference of Topology (Moscow, 1935), Recueil Mathématique, Moscow, 1936, t. I (43), 737-743. | JFM | Zbl
,[DeR 2] Reidemeister's torsion invariant and rotation of Sn, International Conf. on Differential Analysis, Bombay Colloquium of 1964, Oxford Univ. Press, 1964, 27-36. | MR | Zbl
,[DeR 3] Torsion et type simple d'homotopie, Lecture Notes in Math., 48, Springer-Verlag, 1967. | MR | Zbl
, , and ,[I] Global and local aspects of the theory of complex differential equations, Proc. Int. Cong. of Math., Helsinki, 1978, 821-826. | Zbl
,[Ka] Weyl group actions and equivariant homotopy equivalence, Proc. of Amer. Math. Soc., 80 (1980), 172-176. | MR | Zbl
,[Kla] Classification topologique des n-tuples de champs de vecteurs holomorphes commutatifs sur Pn+1(C), Thèse, Université de Strasbourg, 1980, partie II.
,[K 1] The topology of a solution of a differential equation on Rn, Proc. Int. Congress on Manifolds, Tokyo, 1973, 195-203. | Zbl
,[K 2] La topologie des singularités hyperboliques des actions de R2, Astérisque, 59-60 (1978), 131-150. | Numdam | MR | Zbl
,[K 3] The topology of linear Cm-flows on Cn, to appear in the Proceedings of a Conference on Dynamical Systems, Rio de Janeiro, July 1981.
,[KR] Topological classification of linear endomorphisms, Inventiones Math., 19 (1973), 83-106. | MR | Zbl
and ,[L] Algebra, Addison-Wesley, 1965. | MR | Zbl
,[LW] On the groups JO(G), Memoirs Amer. Math. Soc., Vol. 2, Issue I, No. 159, Amer. Math. Soc., Providence, R. I., 1975. | MR | Zbl
and ,[M] Whitehead torsion, Bull. Amer. Math. Soc., 72 (1966), 358-426. | MR | Zbl
,[O] Fixed point sets of group actions on finite acyclic complexes, Comment. Math. Helv., 50 (1975), 155-177. | MR | Zbl
,[Pe 1] The Atiyah-Singer invariant, the Wall groups Ln( , 1), and the function (tex + 1)/(tex - 1), Ann. of Math., 92 (1970), 174-187. | MR | Zbl
,[Pe 2] G-Surgery I-A survey, Springer Lecture Notes, 664 (1978), 197-233. | MR | Zbl
,[Pe 3] Three Theorems on Transformation Groups, Springer Lecture Notes, 763 (1979), 549-572. | MR | Zbl
,[P] Sur les courbes définies par les équations différentielles, OEuvres de H. Poincaré, Vol. I, Paris, Gauthier-Villars (1926).
,[R] Torsion invariants and finite transformation groups, Symposia in Pure Math., XXXII, part I, 267-312, Amer. Math. Soc., 1978. | MR | Zbl
,[Sa] Actions of groups of odd order on compact, orientable manifolds, Proc. Amer. Math. Soc., 54 (1976), 445-448. | MR | Zbl
,[Sch] On the topological classification of linear representations, Topology, 16 (1977), 263-270. | MR | Zbl
,[Se] Représentations linéaires des groupes finis, Paris, Hermann (1967). | MR | Zbl
,[Sh] Wall's surgery obstruction groups for Z X G, Ann. of Math., 90 (1969), 296-334. | MR | Zbl
,[Sm] New results and old problems in finite transformation groups, Bull. Amer. Math. Soc., 66 (1960), 401-415. | MR | Zbl
,[Tr] On the G-homotopy equivalence of spheres of representations, Math. Zeitschrift, 161 (1978), 257-261. | MR | Zbl
,[W 1] Surgery on compact manifolds, New York, Academic Press, 1970. | MR | Zbl
,[W 2] Classification of Hermitian forms, VI, group rings, Ann. of Math., 103 (1976), 1-80. | MR | Zbl
,