The oriented topological and ${\text{PL}}$ cobordism rings
نویسندگان
چکیده
منابع مشابه
The 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 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 کاملTopological Hermitian Cobordism
A decade ago, the authors [5] studied Real cobordismMR, anRO(Z/2)graded Z/2-equivariant spectrum discovered by Landweber [9], which is related to complex cobordismMU in the same way as Atiyah’s RealKtheory KR [1] does to K-theory. In particular, the authors computed the RO(Z/2)-graded coefficients of MR. A key step in that computation was the fact that MR is a complete Z/2-equivariant spectrum,...
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 کاملChow Rings and Cobordism of Some Chevalley Groups
We compute the cobordism rings of the classifying spaces of a certain class of Chevalley groups. In the particular case of the general linear group, we prove that it is isomorphic to the Chow ring.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1974
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1974-13542-1