書誌事項

Proceedings on algebraic topology

S. Gitler, editor

(Contemporary mathematics, v. 58 . The Lefschetz Centennial Conference : proceedings of the Lefschetz Centennial Conference held December 10-14, 1984 ; pt. 2)

American Mathematical Society, c1987

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注記

"International Conference in Mexico City, to celebrate Solomon Lefschetz' 100th birthday" -- Pref

内容説明・目次

巻冊次

ISBN 9780821850633

内容説明

Contains many of the papers in the area of algebraic topology presented at the 1984 Solomon Lefschetz Centennial Conference held in Mexico City.

目次

The $K$-theory of projective Stiefel manifolds by E. Antoniano $BP$ obstruction theory by M. Bendersky Continuous cohomology by E. Brown, Jr. and R. Szczarba Homology of mapping class groups for surfaces of low genus by F. R. Cohen Immersions of real projective spaces by D. M. Davis Fractal structures in $H_\ast(BO)$ and their application to cobordism by V. Giambalvo, D. J. Pengelley, and D. C. Ravenel Sums of squares formulae near the Hurwitz-Radon range by K. Y. Lam and P. Y. H. Yiu Toward a global understanding of the homotopy groups of spheres by M. E. Mahowald and D. C. Ravenel Surgery with finite fundamental group by R. J. Milgram $KO(B)$-graded stable cohomotopy over $B$ and $RO(G)$-graded $G$-equivariant stable cohomotopy: a fixed point theoretical approach to the Segal conjecture by C. Prieto On the Atiyah-Hirzebruch spectral sequence by J. Ucci Recent work on the parallelizability of flag manifolds by P. Zvengrowski.
巻冊次

: set ISBN 9780821850657

内容説明

A three-volume series of proceedings of the Solomon Lefschetz Centennial Conference, held in 1984 in Mexico City to celebrate Lefschetz's 100th birthday. The conference focused on three main areas of Lefschetz's research: algebraic geometry, algebraic topology and differential geometry.

目次

  • Part 1: A page of mathematical autobiography by S. Lefschetz Solomon Lefschetz by W. Hodge Multiplicity structures on space curves by C. Banica and O. Forster Algebraic cycles and the Beilinson conjectures by S. Bloch The infinitesimal Abel-Jacobi mapping for hypersurfaces by H. Clemens Infinite Coxeter groups and automorphisms of algebraic surfaces by I. Dolgachev A problem about polynomial ideals by S. Eliahou Local Torelli theorem for certain extremal varieties by C. G.-M. Avalos Transverse deformations of holomorphic foliations by X. Gomez-Mont Singularities of algebraic surfaces and characteristic numbers by F. Hirzebruch Metrics on moduli spaces by N. J. Hitchin Varieties with rational singularities by G. F. Kempf Remarks on moduli spaces of complete intersections by A. S. Libgober and J. W. Wood The Schottky groups in higher dimensions by M. V. Nori Cohomology on complex homogeneous manifolds with compact subvarieties by C. Patton and H. Rossi Some applications of the Lefschetz fixed point theorems in (complex) algebraic geometry by C. A. M. Peters Stability of two-dimensional local rings. II by J. Shah The connection between linear series on curves and Gauss maps on subvarieties of their Jacobians by R. Smith and H. Tapia-Recillas Some applications of algebraic geometry to systems of partial differential equations and to approximation theory by P. F. Stiller Small points and torsion points by L. Szpiro Green's theory of Chern classes and the Riemann-Roch formula by D. Toledo and Y. L. L. Tnog
  • Part 2: The $K$-theory of projective Stiefel manifolds by E. Antoniano $BP$ obstruction theory by M. Bendersky Continuous cohomology by E. Brown, Jr. and R. Szczarba Homology of mapping class groups for surfaces of low genus by F. R. Cohen Immersions of real projective spaces by D. M. Davis Fractal structures in $H_\ast(BO)$ and their application to cobordism by V. Giambalvo, D. J. Pengelley, and D. C. Ravenel Sums of squares formulae near the Hurwitz-Radon range by K. Y. Lam and P. Y. H. Yiu Toward a global understanding of the homotopy groups of spheres by M. E. Mahowald and D. C. Ravenel Surgery with finite fundamental group by R. J. Milgram $KO(B)$-graded stable cohomotopy over $B$ and $RO(G)$-graded $G$-equivariant stable cohomotopy: a fixed point theoretical approach to the Segal conjecture by C. Prieto On the Atiyah-Hirzebruch spectral sequence by J. Ucci Recent work on the parallelizability of flag manifolds by P. Zvengrowski
  • Part 3: Perturbation results on the long run behavior of nonlinear dynamical systems by H. C. Calvet Harmonic maps and minimal surface coboundaries by K.-C. Chang and J. Eells Lefschetz formulas for flows by D. Fried Phase locking and higher order averaging by C. Garcia and A. Minzoni Groupes D'homeomorphismes du cercle et cohomologie bornee by E. Ghys Harmonic maps of Riemann surfaces to quaternionic projective spaces and grassmannians by J. Glazebrook Foliations by curves of complex analytic spaces by X. Gomez-Mont Renormalization of one dimensional mappings and strange attractors by J. Guckenheimer Orbits and harmonic maps by M. Guest Some examples of infinite dimensional systems by J. Hale E. Cartan's generalized spaces and connections by M. Kuranishi Infinity manifolds for positive energy in clestial mechanics by E. Lacomba Homoclinic orbits, hyperbolic dynamics and dimension of cantor sets by J. Palis On the estimate of number of solutions for the nonlinear boundary values problem by V. Schuchman The index of a vector field on a complex analytic surface with singularities by J. Seade A uniformization theorem for holomorphic foliations by A. Verjovsky.

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