Zobrazeno 1 - 10
of 414
pro vyhledávání: '"55N15"'
Autor:
Davis, Donald M, Wilson, W Stephen
We compute the $E_2$ page of the Adams spectral sequence converging to the connective KO-theory of the second mod 2 Eilenberg-MacLane space, $ko_*(K(Z/2,2))$. This required a careful analysis of the structure of $H^*(K(Z/2,2);Z_2)$ as a module over t
Externí odkaz:
http://arxiv.org/abs/2410.23094
We compute the MU-based syntomic cohomologies, mod $(p,v_1,\cdots,v_{n+1})$, of all $\mathbb{E}_1$-MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences, we deduce the Lichtenbaum--Quillen conjecture, telescope conjecture,
Externí odkaz:
http://arxiv.org/abs/2410.07048
The flip Stiefel manifolds (FV_{m,2s}) are defined as the quotient of the real Stiefel manifolds (V_{m,2s}) induced by the simultaneous pairwise flipping of the co-ordinates by the cyclic group of order 2. We calculate the complex (K)-ring of the fli
Externí odkaz:
http://arxiv.org/abs/2404.15803
Autor:
Paul, Bidhan
The aim of this paper is to describe the torus equivariant $K$-ring of even-dimensional complex quadrics by studying the graph equivariant $K$-theory of their corresponding GKM graphs. This involves providing a presentation for its graph equivariant
Externí odkaz:
http://arxiv.org/abs/2401.12833
Autor:
Davis, Donald M., Wilson, W. Stephen
Publikováno v:
New York Journal of Mathematics, volume 30, pages 513-520, 2024
The stable mod 2 cohomologies of the spectra for connective real and complex K-theories are well known and easy to work with. However, the known bases are in terms of the anti-automorphism of Milnor basis elements. We offer simple bases in terms of a
Externí odkaz:
http://arxiv.org/abs/2401.06615
We determine the A(1)-homotopy of the topological cyclic homology of the connective real K-theory spectrum ko. The answer has an associated graded that is a free F_2[v_2^4]-module of rank 52, on explicit generators in stems -1 \le * \le 30. The calcu
Externí odkaz:
http://arxiv.org/abs/2309.11463
A continuous $p$-adic action on the $K(2)$-local algebraic $K$-theory of $p$-adic complex $K$-theory
Autor:
Davis, Daniel G.
Let $p$ be a prime, let $KU_p$ be $p$-complete complex $K$-theory, and let $\mathbb{Z}_p^\times$ denote the group of units in the $p$-adic integers. The $p$-adic Adams operations induce an action of the profinite group $\mathbb{Z}_p^\times$ on $KU_p$
Externí odkaz:
http://arxiv.org/abs/2308.02063
Autor:
Salch, A.
Begin with the Hasse-Weil zeta-function of a smooth projective variety over the rational numbers. Replace the variety with a finite CW-complex, replace etale cohomology with complex K-theory $KU^*$, and replace the $p$-Frobenius operator with the $p$
Externí odkaz:
http://arxiv.org/abs/2308.01805
Autor:
Podder, Sudeep, Sankaran, Parameswaran
Let $\mathrm E_6$ denote the simply-connected compact exceptional Lie group of rank 6. The Lie group $\mathrm Spin(10)$ naturally embeds in $\mathrm E_6$, corresponding to the inclusion of the Dynkin diagrams. We determine the K-ring of the coset spa
Externí odkaz:
http://arxiv.org/abs/2307.04844
Autor:
Ivankov, Petr R.
For any topological space there is a sheaf cohomology. A Grothendieck topology is a generalization of the classical topology such that it also possesses a sheaf cohomology. On the other hand any noncommutative $C^*$-algebra is a generalization of a l
Externí odkaz:
http://arxiv.org/abs/2306.14684