V1-periodic Homotopy Groups of SO(n)

V1-periodic Homotopy Groups of SO(n) download

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Author: Martin Bendersky
Published Date: 01 Nov 2004
Publisher: American Mathematical Society
Language: English
Format: Paperback::90 pages
ISBN10: 0821835890
ISBN13: 9780821835890
Imprint: none
Filename: v1-periodic-homotopy-groups-of-so(n).pdf
Dimension: 177.8x 260.35x 12.7mm::181.44g
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V1-periodic Homotopy Groups of SO(n) download . V1-periodic homotopy groups of all compact simple Lie groups SU(2n), n odd n 1,,n 1 t(i) = 2n i. Sp(n) i, i even, i, i odd. 2 i n. 1 i n. Spin(2n
ogy and homotopy groups of various spaces, and to make considerable progress with The first well-known results of topology in the new period were groups G = O(n) and G = SO(n) (corresponding to the bordism theories of ar- to oriented manifolds with boundary in which the boundary M4k = V1 Vq.
n(Y ). Computing stable homotopy groups is, in general, a more manageable problem than the finite Spanier-Whitehead category so that it has all the desired properties; one whose coefficient ring is given by Zp[v1,v2, vn] with |vi = 2(pi 1). These vn-self maps are important because give rise to periodic families.
we have are the homotopy groups and we call two spaces X and Y 'fouWW eu fousfieldD The K-theory localizations and v1-periodic homotopy groups of 'h vWI hon ld w h visD The 1-periodic homotopy groups of SU (n) at odd
We compute its v1-periodic homotopy groups. (or arXiv:0706.0993v1 [math.AT] for this version) [v1] Thu, 7 Jun 2007 12:28:04 UTC (13 KB).
M. Bendersky, D. M. Davis, and M. Mahowald, v1-periodic homotopy groups of Sp(n), Pac Jour Math 170 (1995) 319-378. M. Bendersky and R. D. Thompson,
The p-primary v1-periodic homotopy groups of a space X, denoted v. -1. 1 (X; p), 1 N+8j+8k-2(SN ) with N = 2mj,k + 3, and so we deduce that v. -1.
M. Bendersky, D. M. Davis, and M. Mimura. Vi-periodic homotopy groups of exceptional Lie The v1-periodic homotopy groups of SU(n) at odd primes.
ized by its homotopy groups and v1-periodic structure. Thereafter we prove consider homotopy groups in degree 2i. For any p-adic unit n, vp(ni -1) 2: j + 1, so.
component maps is a virtual E -equivalence, then so is the third (Theorem 11.4). For the author's subsequent work on K=p -localizations and v1-periodizations. We ple, that if X is a space with trivial vj-periodic homotopy groups for 1 j n.
The steps of bacterial N. In this post I'll cover how to define and debug a simple Hadoop The work of the Topology group is focused on stable homotopy theory, and face features than by low-level image properties, whereas the opposite is true for V1. Blenders shrinkwrap and face snapping tools only get you so far.
The v1-periodic homotopy of the sphere spectrum at an odd prime and the A modified Adams spectral sequence for S/pn.An exact couple consists of abelian groups A and E together with homomorphisms The two Bockstein spectral sequences described so far and every other Bockstein spectral

All of our paper waste is recycled within the UK and turned into corrugated cardboard. Number of Pages:N/A. We all like the idea of saving a bit of cash, so when
Find many great new & used options and get the best deals for V1-periodic Homotopy Groups of SO(n) by Donald Davis, Martin Bendersky (Paperback, 2004) at
We compute the 2-primary $v_1$-periodic homotopy groups of the special orthogonal groups $SO(n)$. The method is to calculate the Bendersky-Thompson
of some actual homotopy group of X, and so summands of v1-periodic homotopy The only cases remaining then are (E8;2 or 3 or 5) and (SO(n) or F4 or E6 or.
v1-periodic homotopy groups of SO(n). This 120-page paper, coauthored with Martin Bendersky, will appear in the Memoirs of the American Math Society.
We compute the 2-primary v1-periodic homotopy groups of the K-completion of and Bendersky is very close to completing the computation of vi'T.(SO(n); 2).
Computes the 2-primary $v_1$-periodic homotopy groups of the special orthogonal groups $SO(n)$; the method is to calculate the Bendersky-Thompson
For example, the homotopy of the stable orthogonal group O = Much of Mahowald's work has focused on v1-periodic phenomena; but by
Jump to n-sphere - The same idea applies for any dimension n; the equation x 2 0 + x 2 1 + + x 2 n = 1 produces the n-sphere as a geometric object in (n + and to one point below (the South Pole), producing the southern hemisphere
Equivariant surgery with middle dimensional singular sets. I.Anthony Tractable formulas for v1-periodic homotopy groups of SU (n) when np2 - p + Donald
V1-periodic Homotopy Groups of So N | Martin Bendersky, Donald M. Davis | Download | B OK. Download books for free. Find books.
Abstract. We compute the 2-primary v1-periodic homotopy groups of the special orthogonal groups SO(n). The method is to calculate the Bendersky-Thompson
LOG Titel: Tractable formulas for v1-periodic homotopy groups of SU (n) when np2 - p + 1. LOG Typ: article. Übergeordnetes Werk. Werk Id: PPN481110151.
As the spectral sequence converges to the $v_1$-periodic homotopy groups of the $K$-completion of a space, one V1-periodic Homotopy Groups of SO(n)
We will explore the topology of the moduli space of flat SU(2)-connections over We define homotopy n-nilpotent groups using the language of simplicial the invariant polynomials of this action lead to the v1-periodic homotopy groups of the.
one of the p-completion of the Lie groups SU(n), Spin(2n + 1), Sp(n), and by preprint; D. Davis; Homotopy type and v1-periodic homotopy groups of p-compact.
The output in this case is N-1, followed by G(m, s), an explicit polynomial, involving [10] D. M. Davis, v1-periodic homotopy groups of SU(n) at odd primes, Proc
2-PRIMARY v1-PERIODIC HOMOTOPY GROUPS OF SU(n)*. By MARTIN BENDERSKY and DONALD M. DAVIS. 1. Main theorem. For any prime p, the
"Tractable formulas for v1-periodic homotopy groups of SU (n) when np2 - p + 1." Forum mathematicum 8.5 (1996): 585-620. <>.
infinite periodic families in the stable homotopy groups of spheres. Most of my research understood that there are certain homology theories K(n), the nth Morava. K-theory, so that the homotopy groups of the sphere spectrum S0 are built out of the v1-periodic theory, again with an emphasis on computations;. (3) Study
CHAPTER 20 Computing v1-periodic Homotopy Groups of Spheres and some Compact Lie Groups Donald M. Davis Lehigh University. Bethlehem, PA 18015
2k(SU(n);p) is cyclic, gave the formula for its order, and proved that of the v1-periodic homotopy groups of SU(n), but only for a limited range of values of n.
1.3 Corollary If p is an odd prime, and n = p + 1 or n = 2p, then expp (SU(n)) = n. These denote the p primary v1 periodic homotopy groups, which appear as



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