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pro vyhledávání: '"Ausoni, Christian"'
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
Given an $E_1$-ring $A$ and a class $a \in \pi_{mk}(A)$ satisfying a suitable hypothesis, we define a map of $E_1$-rings $A\to A(\sqrt[m]{a})$ realizing the adjunction of an $m$th root of $a$. We define a form of logarithmic THH for $E_1$-rings, and
Externí odkaz:
http://arxiv.org/abs/2211.16929
We calculate the mod (p, v_1, v_2) homotopy V(2)_* TC(BP<2>) of the topological cyclic homology of the truncated Brown--Peterson spectrum BP<2>, at all primes p\ge7, and show that it is a finitely generated and free F_p[v_3]-module on 12p+4 generator
Externí odkaz:
http://arxiv.org/abs/2204.05890
Autor:
Ausoni, Christian, Richter, Birgit
Publikováno v:
Algebr. Geom. Topol. 20 (2020) 375-393
We offer a complete description of $THH(E(2))$ under the assumption that the Johnson-Wilson spectrum $E(2)$ at a chosen odd prime carries an $E_\infty$-structure. We also place $THH(E(2))$ in a cofiber sequence $E(2) \rightarrow THH(E(2))\rightarrow
Externí odkaz:
http://arxiv.org/abs/1807.02438
Autor:
Ausoni, Christian, Rognes, John
Publikováno v:
J. Eur. Math. Soc. (JEMS) 14 (2012), no. 4, 1041-1079
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology.
Comment: Revised version, to appear in J. Eur. Math. Soc. (JEMS)
Comment: Revised version, to appear in J. Eur. Math. Soc. (JEMS)
Externí odkaz:
http://arxiv.org/abs/1006.3413
Autor:
Ausoni, Christian, Rognes, John
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology. We use this to compute the homotopy cofiber of a transfer map K(L/p) --> K(L_p), which we interpret as the algebraic K-theory of the
Externí odkaz:
http://arxiv.org/abs/0911.4781
Autor:
Ausoni, Christian
Let p>3 be a prime, let ku be the connective complex K-theory spectrum, and let K(ku) be the algebraic K-theory spectrum of ku. We study the p-primary homotopy type of the spectrum K(ku) by computing its mod (p,v_1) homotopy groups. We show that up t
Externí odkaz:
http://arxiv.org/abs/0902.2334
Autor:
Ausoni, Christian, Rognes, John
Publikováno v:
Geom. Topol. 16 (2012) 2037-2065
We show that after rationalization there is a homotopy fiber sequence BBU -> K(ku) -> K(Z). We interpret this as a correspondence between the virtual 2-vector bundles over a space X and their associated anomaly bundles over the free loop space LX. We
Externí odkaz:
http://arxiv.org/abs/0708.2160
Autor:
Ausoni, Christian
Publikováno v:
American Journal of Mathematics, 2005 Dec 01. 127(6), 1261-1313.
Externí odkaz:
https://www.jstor.org/stable/40068021
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