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π∗(L2T(1)/(v1)) and its applications in computing π∗(L2T(1)) at the prime two
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Xiangjun Wang
Published/Copyright:
February 21, 2007
Abstract
In this paper, all spaces are localized at the prime two. Let T(1) be the Ravenel spectrum characterized by the BP∗-homology as BP∗[t1], T(1)/(v1) be the cofiber of the self map v1 : Σ2T(1) → T(1) and L2 denote the Bousfield localization functor with respect to v2−1BP∗. In this paper, we compute the homotopy groups π∗(L2T(1)/(v1)) by determining the E∞-term of its Adams-Novikov spectral sequence (ANSS). From the E2-term of the ANSS for π∗(L2T(1)/(v1)), we determine a subgroup of the E2-term for π∗(L2T(1)). We also show that the E4-term for π∗(L2T(1)) has horizontal vanishing line.
Received: 2003-08-12
Revised: 2005-05-24
Published Online: 2007-02-21
Published in Print: 2007-01-29
© Walter de Gruyter
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Articles in the same Issue
- Solving Abstract Cauchy Problems with closable operators in reflexive spaces via resolvent-free approximation
- Chain transitive sets for flows on flag bundles
- A Burgess-like subconvex bound for twisted L-functions
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- Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
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- A proof of the Livingston conjecture
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