Finite actions on the 2-sphere, the projective plane and I-bundles over the projective plane. (English) Zbl 1414.57011
Reviewer: Bruno Zimmermann (Trieste)
Found 133 Documents (Results 1–100)
A survey of group actions on \(4\)-manifolds. (English) Zbl 1410.57013
Ji, Lizhen (ed.) et al., Handbook of group actions. Volume III. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 40, 421-460 (2018).
Generalized Gottlieb and Whitehead center groups of space forms. (English) Zbl 1406.55005
Reviewer: Daciberg Lima Gonçalves (São Paulo)
Domains with flat boundary pieces. (English) Zbl 1371.51006
Reviewer: Rainer Löwen (Braunschweig)
Projective bundles over small covers and the bundle triviality problem. (English) Zbl 1352.55009
Reviewer: Oliver Goertsches (Marburg)
On knotted real projective planes. (English) Zbl 1332.57021
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M27
57M25
Commuting involutions with a fixed point set of constant codimension \(2^k+5\). (Chinese. English summary) Zbl 1274.57010
\((\mathbb Z_2)^k\)-actions with a fixed point set of constant codimension \(2^k+7\). (Chinese. English summary) Zbl 1265.57011
Productive elements in group cohomology. (English) Zbl 1236.20056
Reviewer: Saïd Zarati (Tunis)
Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology. (English) Zbl 1188.22001
On projective bundles over small covers (a survey). (English) Zbl 1225.57013
Korbaš, Július (ed.) et al., Group actions and homogeneous spaces. Proceedings of the international conference, Bratislava topology symposium “Group actions and homogeneous spaces”, Bratislava, Slovakia, September 7–11, 2009. Bratislava: Univ. Komenského, Fakulta Matematiky, Fyziky a Informatiky (ISBN 978-80-89186-76-1/pbk; 978-80-89186-75-4/ebook). 43-60 (2010).
Singular cohomology rings of some orbit spaces defined by free involution on \(CP(2m+1)\). (English) Zbl 1225.55001
Reviewer: Rainer Löwen (Braunschweig)
Orbit spaces of free involutions on the product of two projective spaces. (English) Zbl 1198.57023
Reviewer: Zhi Lü (Shanghai)
Commuting involutions with fixed point set of constant codimension \(2^k+2^{k-1}-2\). (Chinese. English summary) Zbl 1212.57017
Commuting involutions whose fixed point set consists of two special components. (English) Zbl 1160.57030
Reviewer: Zhi Lü (Shanghai)
A survey on divisible convex sets. (English) Zbl 1154.22016
Ji, Lizhen (ed.) et al., Geometry, analysis and topology of discrete groups. Selected papers of the conference on geometry, topology and analysis of locally symmetric spaces and discrete groups, Beijing, China, July 17–August 4, 2006. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-126-1/hbk). Advanced Lectures in Mathematics (ALM) 6, 1-18 (2008).
Reviewer: Günter F. Steinke (Christchurch)
Determination of the order of the \(p\)-image by Toda brackets. (English) Zbl 1157.55005
Iwase, Norio (ed.) et al., Proceedings of the conference on groups, homotopy and configuration spaces, University of Tokyo, Japan, July 5–11, 2005 in honor of the 60th birthday of Fred Cohen. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 13, 355-383 (2008).
Reviewer: Jan Jaworowski (Bloomington)
\( (Z_2)^k\)-actions of fixed point set with constant codimension \(2^k+2^l\). (Chinese. English summary) Zbl 1150.57317
\( (Z_2)^k\)-actions with fixed point set of constant codimension \(2^k+2^{k-2}\). (Chinese. English summary) Zbl 1150.57316
Smooth free involution of \(h{\mathbb{C}}P^{3}\) and Smith conjecture for imbeddings of \(S^{3}\) in \(S^{6}\). (English) Zbl 1151.57028
Reviewer: Krzysztof Pawałowski (Poznań)
An indecomposable \(PD_3\)-complex whose fundamental group has infinitely many ends. (English) Zbl 1067.57016
Reviewer: Jonathan Hodgson (Philadelphia)
Cobordism classes of smooth manifold admitting a \((\mathbb{Z}_2)^2\)-action with fixed point data \(\{(2,2,0),(2,0,2), (0,2,2)\}\). (Chinese. English summary) Zbl 1061.57028
A necessary condition for \((Z_2)^k\)-actions with fixed point set data. (Chinese. English summary) Zbl 1031.57025
Complexity of triangulations of the projective space. (English) Zbl 1034.57022
Reviewer: Sergey Melikhov (Gainesville)
Standard CR manifolds of codimension 2. (English) Zbl 0997.32035
Reviewer: Joël Merker (Marseille)
\((Z_{2})^{k}\)-actions whose fixed data has a section. (English) Zbl 0964.57033
Reviewer: K.H.Mayer (Dortmund)
Limit sets of projectively flat manifolds. (English) Zbl 0978.53066
Reviewer: Mircea Craioveanu (Timişoara)
Exotic involutions of low-dimensional spheres and the eta-invariant. (English) Zbl 0961.57024
Reviewer: Yuli Rudyak (Heidelberg)
On the Euler characteristic of the orbit space of a proper \(\Gamma\)-complex. (English) Zbl 0951.55011
Reviewer: J.A.Pérez (Zacatecas)
Commuting involutions with fixed point set of constant codimension. (Chinese. English summary) Zbl 1009.57040
Projective flat manifolds of cyclic and dihedral holonomy. (English) Zbl 0934.57029
Reviewer: Liviu Ornea (Bucureşti)
Bordism of two commuting involutions. (English) Zbl 0909.57014
Reviewer: H.T.Ku (Amherst)
Involutions of irreducible 3-manifolds containing two-sided projective planes. (English) Zbl 0824.57008
Reviewer: M.Kobayashi (Osaka)
Involutions fixing the disjoint union of odd-dimensional projective spaces. (English) Zbl 0790.57021
Reviewer: B.Torrence (Washington)
Localization in equivariant bordisms. (English) Zbl 0808.57024
Reviewer: K.H.Dovermann (Honolulu)
Involutions fixing products of circles. (English) Zbl 0810.57023
Reviewer: Wu Ching-mu (Tamsui)
Smooth orientation-preserving involutions on the complex projective space \(CP(2n+1)\). (Chinese) Zbl 0797.57018
Reviewer: He Baihe (Changchun)
Smooth involutions on \(RP(2k+1)\). (Chinese) Zbl 0759.57022
Reviewer: Wu Ching-mu (Tamsui)
Stiefel orientations on a real algebraic variety. (English) Zbl 0779.57022
Real algebraic geometry, Proc. Conf., Rennes/Fr. 1991, Lect. Notes Math. 1524, 205-220 (1992).
Reviewer: J.Rosenknop (Berlin)
Involutions of cohomology complex projective space with codimension-two fixed points. (English) Zbl 0766.55003
Reviewer: K.Pawałowski (Poznań)
Involutions fixing the disjoint union of many projective \(2r+1\)-spaces. (English) Zbl 0755.57016
Reviewer: R.E.Stong (Charlottesville)
Exotic cyclic actions on homotopy complex projective spaces. (English) Zbl 0722.57020
Reviewer: K.Pawałowski (Poznań)
The defect of codimension-two submanifolds of homotopy complex projective space. (English) Zbl 0714.55010
Reviewer: V.L.Hansen
Elliptic genera, involutions, and homogeneous spin manifolds. (English) Zbl 0712.57010
Reviewer: P.Landweber
On representations of finite transformation groups of algebraic curves and surfaces. (English) Zbl 0709.57023
Reviewer: K.Komiya
MSC:
57S17
All finite groups act on fake complex projective spaces. (English) Zbl 0704.57023
Reviewer: K.Pawałowski
Symmetries of homology complex projective planes. (English) Zbl 0703.57024
Reviewer: A.H.Assadi
Integral representations of finite transformation groups. II: Non-simply- connected spaces. (English) Zbl 0705.57019
Reviewer: H.Hähl
Free actions on spaces with nonzero Euler characteristic. (English) Zbl 0703.57022
Reviewer: A.H.Assadi
Torsion in equivariant cohomology. (English) Zbl 0697.57016
Reviewer: S.Jackowski
The level of real projective spaces. (English) Zbl 0697.55009
Reviewer: A.Pfister
Locally linear group actions on the complex projective plane. (English) Zbl 0682.57021
Reviewer: K.Komiyah
All manifolds of involutions whose fixed point sets are the disjoint union of a projective 2r-space and many spheres. (Chinese) Zbl 0679.57020
Reviewer: Wu Chingmu
Some problems and results in the general theory of transformation groups. (English) Zbl 0721.54039
Topology and measure V, Proc. 5th Conf., Binz/Germany 1987, Wiss. Beitr. Ernst-Moritz-Arndt-Univ. Greifswald, 159-168 (1988).
Reviewer: I.D.Albu (Timişoara)
Dimensions of the smooth closed manifolds with involution fixing the disjoint union \(*\cup R^{\delta}P(2k)\). (Chinese) Zbl 0703.57020
Reviewer: Wu Ching-mu
Manifolds with involution whose fixed point set is a Dold manifold P(2m,2n). (Chinese) Zbl 0679.57019
Reviewer: Wu Chingmu
Smooth group action on cohomology complex projective spaces with a fixed point component of codimension 2. (English) Zbl 0676.57018
A fête of topology, Pap. Dedic. Itiro Tamura, 585-602 (1988).
Reviewer: K.H.Dovermann
Smith theory revisited. (English) Zbl 0675.55011
Reviewer: S.Jackowski
Actions of elementary Abelian p-groups. (English) Zbl 0669.57023
Reviewer: A.Assadi
MSC:
57S17
Finite group actions on \(P^ 2({\mathbb{C}})\). (English) Zbl 0659.20041
Reviewer: B.Apanasov
Varieties in finite transformation groups. (English) Zbl 0653.57026
Reviewer: R.E.Stong
MSC:
57S17
Cohomological realizations of two-valued formal groups and their applications. (Russian. English summary) Zbl 0641.55004
Reviewer: P.Landweber
Group actions on the complex projective plane. (English) Zbl 0639.57022
Reviewer: D.M.Wilczyński
Homotopy representation groups and Swan subgroups. (English) Zbl 0637.57024
Reviewer: K.Pawałowski
On the level of projective spaces. (English) Zbl 0634.10020
Reviewer: Daniel B. Shapiro (Columbus/Ohio)
Rigid cyclic group actions on cohomology complex projective spaces. (English) Zbl 0629.57025
Reviewer: T.tom Dieck
Equivariant topology of nematic liquid crystals. (English. Russian original) Zbl 0713.57020
Russ. Math. Surv. 41, No. 5, 157-158 (1986); translation from Usp. Mat. Nauk 41, No. 5(251), 189-190 (1986).
One-generator transformation groups in the projective plane. (Hungarian) Zbl 0655.51015
Reviewer: E.Molnár
A note on conjugation involutions on homotopy complex projective spaces. (English) Zbl 0635.57019
Reviewer: R.E.Stong
\({\mathbb{Z}}_ 2\) surgery theory and smooth involutions on homotopy complex projective spaces. (English) Zbl 0632.57024
Transformation groups, Proc. Symp., Poznań/Pol. 1985, Lect. Notes Math. 1217, 259-289 (1986).
Reviewer: K.Pawałowski
Conjugation involutions on homotopy complex projective spaces. (English) Zbl 0632.57021
Reviewer: P.Löffler
Equivariant homology decompositions. (English) Zbl 0625.55015
Reviewer: S.Jackowski
Rational Moore G-spaces. (English) Zbl 0616.55009
Reviewer: S.Jackowski
Actions of \(Spin_ 3\) on 4-dimensional stable planes. (English) Zbl 0596.51007
Reviewer: G.F.Steinke
Transformation groups in differential geometry. (Gruppy preobrazovanij v differentsial’noj geometrii). Transl. from the English. (Russian) Zbl 0579.53026
Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 224 p. R. 1.60 (1986).
Topology and transformation groups. Proceedings of the symposium held at the Reseach Institute for Mathematical Sciences, Kyoto University, Kyoto, June 5-7, 1985. (Japanese) Zbl 0639.57003
RIMS Kokyuroku, 567. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. II, 122 p. (1985).
Transformation groups and fixed point data. (English) Zbl 0597.57021
Group actions on manifolds, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Contemp. Math. 36, 159-189 (1985).
Reviewer: T.tom Dieck
Smith equivalence of representations for odd order cyclic groups. (English) Zbl 0597.57014
Reviewer: R.Schultz
An equivariant sphere theorem. (English) Zbl 0592.57005
Reviewer: J.Hempel
Mod 2 unstable equivariant spherical characteristic classes and Poincaré duality bordism generators. (English) Zbl 0584.55016
Reviewer: J.Hodgson
Parametrization of causal actions of universal covering groups and global hyperbolicity. (English) Zbl 0579.53042
Reviewer: H.Seifert
Tangential representations of cyclic group actions on homotopy complex projective spaces. (English) Zbl 0575.57023
Reviewer: K.H.Dovermann
The geometric finiteness obstruction. (English) Zbl 0574.57005
Math. Gottingensis, Schriftenr. Sonderforschungsbereichs Geom. Anal. 25, 33 p. (1985).
A transfer spectral sequence for fixed point free involutions with an application to stunted real projective spaces. (English) Zbl 0569.57028
Reviewer: K.H.Dovermann
An application of Dovermann’s \({\mathbb{Z}}_ 2\)-surgery theory to 2n- dimensional complex projective spaces with the conjugate involution. (English) Zbl 0564.57027
Reviewer: P.Löffler
Concordance of group actions on spheres. (English) Zbl 0563.57020
Group actions on manifolds, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Contemp. Math. 36, 299-310 (1985).
Reviewer: K.H.Dovermann
On equivariant maps of Stiefel manifolds. (English) Zbl 0563.57013
Group actions on manifolds, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Contemp. Math. 36, 145-149 (1985).
Reviewer: V.Oproiu
Smooth involutions on homotopy \({\mathbb{C}}P^ 3\). (English) Zbl 0572.57022
Reviewer: R.E.Stong
On equivariant J-groups of complex projective spaces with the conjugate involution. (English) Zbl 0546.55018
Reviewer: T.Kobayashi
3-manifolds with subgroups \({\mathbb{Z}}\oplus {\mathbb{Z}}\oplus {\mathbb{Z}}\) in their fundamental groups. (English) Zbl 0544.57007
Smooth free involutions on homotopy 4k-spheres. (English) Zbl 0543.57023
Reviewer: P.Löffler
Invariants de Hopf d’ordre supérieur et suite spectrale d’Adams. (French) Zbl 0534.55009
Reviewer: S.O.Kochman
The non-existence of tensorproducts for free group actions on spheres. (English) Zbl 0531.57040
Prepr. Ser., Aarhus Univ. 1982/83, No. 17, 25 p. (1983).
Reviewer: R.Schultz
Finite group actions on Grassmann manifolds. (English) Zbl 0531.57039
Topological topics, Artic. Algebra Topology pres. P. J. Hilton 60th Birthday, Lond. Math. Soc. Lect. Note Ser. 86, 169-184 (1983).
Reviewer: J.Weinstein
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