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 ...
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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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Add this copy of Symplectic Cobordism and the Computation of Stable to cart. $30.10, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 1993 by American Mathematical Society.
