Obstructions for Clifford Structures on Vector Bundles.
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Ulrich Schwardmann (1982)
Mathematische Zeitschrift
Hillel H. Gershenson (1971)
Mathematische Zeitschrift
Stavros Papastavridis (1979)
Manuscripta mathematica
Klaus Mohnke (1997)
Banach Center Publications
We discuss Taubes' idea to perturb the monopole equations on symplectic manifolds to compute the Seiberg-Witten invariants in the light of Witten's symmetry trick in the Kähler case.
Martin Cadek, Jirí Vanzura (1997)
Publicacions Matemàtiques
Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to Sp(2) or Sp(2) · Sp(1) if and only if the vector bundle associated to ξ via a certain outer automorphism of the group Spin(8) has 3 linearly independent sections or contains a 3-dimensional subbundle. Necessary and sufficient conditions for the existence of an Sp(2)- structure in ξ over a closed connected spin manifold of dimension 8 are also given in terms of characteristic classes.
Liu, Ximin, Li, Hongxia (2007)
Acta Mathematica Universitatis Comenianae. New Series
Ivan Kolář, Marco Modugno (1990)
Czechoslovak Mathematical Journal
Wu-Yi Hsiang, J.C. Su (1975)
Inventiones mathematicae
Ue, Masaaki (2001)
Algebraic & Geometric Topology
Mario Salvetti (1989)
Manuscripta mathematica
Luis A. Florit, Wolfgang Ziller (2009)
Journal of the European Mathematical Society
We explore some aspects of the topology of the family of 13-dimensional Bazaikin spaces. Using the computation of their homology rings, Pontryagin classes and linking forms, we show that there is only one Bazaikin space that is homotopy equivalent to a homogeneous space, i.e., the Berger space. Moreover, it is easily shown that there are only finitely many Bazaikin spaces in each homeomorphism type and that there are only finitely many positively curved ones for a given cohomology ring. In fact,...
Hetyei, Gábor (2004)
The Electronic Journal of Combinatorics [electronic only]
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