ENGLISH

Symplectic Cobordism and the Computation of Stable Stems

By Stanley O. Kochman

Book information

Publisher
Amer Mathematical Society
Year
1993
ISBN
0821825585, 9780821825587
Language
english
Format
PDF
Filesize
7 MB (7763807 bytes)
Series
Memoirs of the American Mathematical Society
Pages
88\105
DPI
600
Orientation
yes
Scanned
yes
Time added
2014-09-08 01:28:13

Description

This book contains two independent yet related papers. In the first, Kochman uses the classical Adams spectral sequence to study the symplectic cobordism ring $\Omega ^*_{Sp}$. Computing higher differentials, he shows that the Adams spectral sequence does not collapse. These computations are applied to study the Hurewicz homomorphism, the image of $\Omega ^*_{Sp}$ in the unoriented cobordism ring, and the image of the stable homotopy groups of spheres in $\Omega ^*_{Sp}$. The structure of $\Omega ^{-N}_{Sp}$ is determined for $N\leq 100$. In the second paper, Kochman uses the results of the first paper to analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres. He uses a generalized lambda algebra to compute the $E_2$-term and to analyze this spectral sequence through degree 33.

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