Geometric homology revisited

Preprint English OPEN
Ruffino, Fabio Ferrari;
(2013)
  • Subject: Mathematics - Algebraic Topology | Mathematics - K-Theory and Homology
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Algebraic Topology

Given a cohomology theory, there is a well-known abstract way to define the dual homology theory using the theory of spectra. In [4] the author provides a more geometric construction of the homology theory, using a generalization of the bordism groups. Such a generaliza... View more
  • References (8)

    [1] F. Ferrari Ruffino, Gysin map and Atiyah-Hirzebruch spectral sequence, Bollettino UMI (9) IV (2011), arXiv:0904.4103

    [2] M. Hirsh, Differential topology, Springer-Verlag, 1994

    [3] M. J. Hopkins and I. M. Singer, Quadratic functions in geometry, topology,and M-theory, J.Diff.Geom. 70 (2005) 329-452, arXiv:math/0211216

    [4] A. Jakob, A bordism-type description of homology, manuscripta math. 96, 67-80 (1998)

    [5] M. Karoubi, K-theory: an Introduction, Springer-Verlag, 1978

    [6] A. A. Kosinski, Differential manifolds, Academic Press, 1993

    [7] Y. B. Rudyak, On Thom spectra, orientability and cobordism, Springer monographs in mathematics

    [8] R. M. Switzer, Algebraic topology - homotopy and homology, Springer, 1975 ICMC - Universidade de Sa˜o Paulo, Avenida Trabalhador sa˜o-carlense 400, 13566- 590 - Sa˜o Carlos - SP, Brasil E-mail address: ferrariruffino@gmail.com

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