منابع مشابه
The Oriented Cobordism Ring
We give an exposition of the computation of the oriented cobordism ring ΩSO ∗ using the Adam’s spectral sequence. Our proof follows Pengelley [15]. The unoriented and complex cobordism rings are also computed in a similar fashion.
متن کاملThe Oriented Topological and Pl Cobordism Rings
where MSTOP and MSPL are the oriented Thorn spectra. Also, the homotopy theory of these spectra divides into two distinct problems: the theory at the prime 2 and the theory away from 2. We let Z (2 ) denote the integers localized at 2 and Z[ | ] the integers localized away from 2. Sullivan [9] showed that the free part of Q^(g)Z[i] (=fi(g)Z[i]); Q*/Tor(g)Z[|] is a polynomial algebra with one ge...
متن کاملThe Cobordism of Oriented Three Dimensional Orbifolds
In a previous paper [2], using orbifold Pontrjagin numbers, we had established that rationally every odd dimensional oriented orbifold bounds and, also, if an orbifold bounds, then some multiple of it bounds with no increase in the set of local groups. The proof involves systematically making the orbifold rationally cobordant to one with a smaller set of local groups. Thus to study torsion in o...
متن کاملOriented Cohomology, Borel-moore Homology and Algebraic Cobordism
We examine various versions of oriented cohomology and BorelMoore homology theories in algebraic geometry and put these two together in the setting of an “oriented duality theory”, a generalization of Bloch-Ogus twisted duality theory. We apply this to give a Borel-Moore homology version MGL ∗,∗ of Voevodsky’s MGL-theory, and a natural map θ : Ω∗ → MGL 2∗,∗ , where Ω∗ is the algebraic cobordism...
متن کاملAlgebraic Cobordism
Together with F. Morel, we have constructed in [6, 7, 8] a theory of algebraic cobordism, an algebro-geometric version of the topological theory of complex cobordism. In this paper, we give a survey of the construction and main results of this theory; in the final section, we propose a candidate for a theory of higher algebraic cobordism, which hopefully agrees with the cohomology theory repres...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1994
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1994.164.299