@article{PMIHES_1985__62__5_0, author = {Petrie, Ted and Randall, John}, title = {Spherical isotropy representations}, journal = {Publications Math\'ematiques de l'IH\'ES}, volume = {62}, year = {1985}, pages = {5-40}, mrnumber = {88i:57017}, zbl = {0585.57020}, mrnumber = {823175}, language = {en}, url = {http://dml.mathdoc.fr/item/PMIHES_1985__62__5_0} }
Petrie, Ted; Randall, John. Spherical isotropy representations. Publications Mathématiques de l'IHÉS, Tome 62 (1985) pp. 5-40. http://gdmltest.u-ga.fr/item/PMIHES_1985__62__5_0/
[A1] Characters and cohomology, Inst. Hautes Etudes Sci. Publ. Math. No. 9 (I96I), 23-64. | Numdam | MR 26 #6228
,[AB] The Lefschetz fixed point theorem for Elliptic complexes II, Ann. of Math. 86 (I967), 45I-49I.
and ,[AS] Equivariant K-theory and completion, J. Diff. Geometry 3 (I969), I-I8. | MR 41 #4575 | Zbl 0215.24403
and ,[B1] Representations at fixed points of smooth actions of compact groups, Ann. of Math. 89 (I969), 5I5-532. | MR 39 #7628 | Zbl 0162.27404
,[B2] Introduction to transformation groups, Academic Press (I972).
[CS] Fixed points of periodic differentiable maps, Invent. Math. 68 (I982), I-I9. | MR 84a:57038 | Zbl 0507.57027
, and ,[C] Eung, Thesis, Rutgers University (I984).
,[Dov] Even dimensional Smith equivalent representations, Algebraic Topology Conf. Aarhus, Springer Lecture Notes in Math. 1051 (I982), 587-602. | MR 86a:57034 | Zbl 0543.57027
,[DP1] An induction theorem for equivariant surgery, Am. J. Math. (I983), I369-I403. | Zbl 0535.57020
, and ,[DP2] G surgery II, Memoirs AMS 37, number 260 (May I982). | MR 84c:57025 | Zbl 0495.57014
[DP3] Smith equivalence of representations for odd order cyclic groups, to appear in Topology. | MR 815481 | Zbl 0597.57014
[D] Induction and structure theorems for orthogonal representations of finite groups, Ann. of Math. 102 (I975), 29I-325. | MR 387392 | MR 52 #8235 | Zbl 0315.20007
,[E] Spheres as fixed sets, Quart. J. Math. 27 (I976), 445-455. | MR 431233 | MR 55 #4234 | Zbl 0342.55013
,[H] Immersions of manifolds, Trans. AMS 93 (I959), 242-276. | MR 119214 | MR 22 #9980 | Zbl 0113.17202
,[I1] Smooth equivariant triangulations of G manifolds for G a finite group, Math. Ann. 233 (I978), I99-220. | MR 500993 | MR 58 #18474 | Zbl 0359.57001
,[I2] Whitehead torsion and actions of compact Lie groups, to appear. | Zbl 0563.57016
[M] Whitehead torsion, Bull. AMS 72 (I966), 358-426. | MR 196736 | MR 33 #4922 | Zbl 0147.23104
,[O] Group actions on disks, integral permutations, representations and the Burnside ring, Proc. Symp. Pure Math. AMS 32 (I978), 339-346. | MR 520510 | Zbl 0455.57020
,[P1] G surgery I-A survey, Springer Lecture Notes in Math. 664 (I978), I97-233. | MR 518416 | MR 80g:57049 | Zbl 0403.57003
,[P2] Three theorems in transformation groups, Springer Lecture Notes in Math. 763 (I979), 549-572. | MR 561238 | MR 82b:57031 | Zbl 0419.57011
[P3] One fixed point actions on spheres II, Adv. in Math. 45 (Sept. I982), I7-70. | Zbl 0502.57021
[P4] One fixed point actions on spheres I, Adv. in Math. 45 (Sept. I982), 3-I4. | MR 676986 | Zbl 0502.57021
[P6] Isotropy representations of actions on disks, in preparation.
,[P7] Smith equivalence of representations, Proc. Cambridge Philo. Soc. 94 (I983), 6I-99. | MR 85i:57011 | Zbl 0526.57026
[PR] Transformation groups on manifolds, Dekker Monographs Pure and Applied Math. (June I984). | Zbl 0574.57001
, and ,[R] Torsion Invariants, Proc. Symp. Pure Math. AMS 32, part I (I978), 267-3II. | Zbl 0426.57013
,[Sa] Actions of compact groups of odd order on compact orientable manifolds, Proc. AMS 54 (I976), 454-458. | MR 53 #11641 | Zbl 0316.57022
,[Sc1] Spherelike G manifolds with exotic equivariant tangent bundles, Adv. in Math. Suppl. Studies 5 (I979), I-39. | MR 80h:57046 | Zbl 0453.57028
,[Sc2] Differentiable group actions on homotopy spheres, Invent. Math. 31 (I975), I03-I08. | Zbl 0335.57025
[Sc3] Differentiability and the P.A. Smith theorems for spheres, Current trends in Algebraic Topology, Canadian Math. Soc. Conf. Proc. (I982), 235-273. | Zbl 0566.57019
[Si] Fixed point representations of group actions on spheres, Thesis, Rutgers University (I982).
,[St] Lectures on polyhedral topology, Tata Inst. of Fundamental Research, Bombay (I968). | Zbl 0182.26203
,[Suh] Thesis, Rutgers University (I984).
,[Sm] New results and old problems in finite transformation groups, Bull. AMS 66 (I960), 40I-4I5. | MR 23 #A2880 | Zbl 0096.37501
,[W] Surgery on compact manifolds, Academic Press (I970). | Zbl 0219.57024
,