منابع مشابه
The Connective K-theory of Spinor Groups
In a previous paper [4] we obtained the Hopf algebra structure of k*(G ; Q(P» where G is a compact connectvd Lie group and Q(P) is the quotient ring of Z with respect to a multiplicative subset generated by a set of primes, such that H*(G ; Q(P)) is torsion free . Here we study the properties of the connective K-theory of the Lie groups Spin(n) . Since H*(Spin(n) ; Z) is torsion free if n _< 6,...
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Define a truncation rt(p) of a polynomial p in {x1, x2, x3, . . .} as the polynomial with all but the first t variables set to zero. In certain good cases, the truncation of a Schubert or Grothendieck polynomial may again be a Schubert or Grothendieck polynomial. We use this phenomenon to give subtraction-free formulae for certain Schubert structure constants in K(Flags(C)), in particular gener...
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The main objective of this paper is to extend a domain variables of non-connective Ktheory to a wide class of exact categories with weak equivalences which do not satisfy the factorization axiom in general and develop fundamental properties of non-connective Ktheory. The main application is to study the topological filtrations of non-connective K-theory of a noetherian commutative ring with uni...
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Let K(n)∗(−) denote the n-th periodic Morava K-theory for any fixed odd prime p. Let k(n) ∗ denote the Ω-spectrum of the n-th connective Morava K-theory. We give a calculation of the Hopf ring K(n)∗k(n) ∗ , the main result of the second author’s thesis. This is a new, shorter, easier proof.
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2009
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-009-0221-7