The equivariant complex cobordism ring of a finite abelian group
نویسندگان
چکیده
منابع مشابه
The Equivariant Complex Cobordism Ring of a Finite Abelian Group
We compute the equivariant (stable) complex cobordism ring (MUG)∗ for finite abelian groups G.
متن کاملThe Hopf Ring for Complex Cobordism
It is our purpose here to announce the results of our study of the homology of the spaces in the £2-spectrum for complex cobordism and BrownPeterson cohomology. Let MU(n) be the standard Thorn complex. MUk = l im^^ ü,(~~)MU(n) is the 2k space in the £2-spectrum for complex cobordism. We will consider the space MU — hmn^_00 Iï ;>n MUf-. We find this product easier to study than the separate fact...
متن کاملEquivariant Algebraic Cobordism
We construct an equivariant algebraic cobordism theory for schemes with an action by a linear algebraic group over a field of characteristic zero.
متن کاملEquivariant cobordism for torus actions
We study the equivariant cobordism groups for the action of a split torus T on varieties over a field k of characteristic zero. We show that for T acting on a variety X , there is an isomorphism ΩT ∗ (X) ⊗Ω∗(BT ) L ∼= −→ Ω∗(X). As applications, we show that for a connected linear algebraic group G acting on a k-variety X , the forgetful map ΩG ∗ (X) → Ω∗(X) is surjective with rational coefficie...
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 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: Mathematical Research Letters
سال: 2015
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2015.v22.n6.a1