منابع مشابه
Complex Bordism*
We give the basic definitions for the complex bordism groups of manifolds and survey some foundational results in the subject.
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1. Preliminaries. Let X be the class of compact 1 connected semisimple Lie groups; 3C'C3C is the following set of groups, Sp(w), SU(w), Spin(w), G2, F*, EQ, E7, Es, U*(X) the weakly complex bordism of X [ l ] and A the ring U*(pt) = Z[Fi , F2, • • • ]. A is the weakly complex bordism ring defined by Milnor. The generators F,are weakly complex manifolds of dim 2i. The bordism class of a weakly c...
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In this paper, we obtain the dimensions of symmetry classes of polynomials associated with the irreducible characters of the dihedral group as a subgroup of the full symmetric group. Then we discuss the existence of o-basis of these classes.
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Bordism theories are particular sorts of homology theories, built in accordance to the rule singular homology : simplices :: bordism : manifolds. Fixing a structure group G, the geometric chain complex GC∗(X ;G) of a space X is given by GCn(X ;G) =N f : M →X M a connected manifold with G-structure . The boundary maps in this complex are induced by the restriction of f to the boundary of M . Hen...
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We construct Hodge filtered cohomology groups for complex manifolds that combine the topological information of generalized cohomology theories with geometric data of Hodge filtered holomorphic forms. This theory provides a natural generalization of Deligne cohomology. For smooth complex algebraic varieties, we show that the theory satisfies a projective bundle formula and A1-homotopy invarianc...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1996
ISSN: 0025-5645
DOI: 10.2969/jmsj/04820195