دانلود کتاب Cobordisms and Spectral Sequences

فهرست مطالب :

Introduction 1 Chapter I. Bordism with Singularities 7 1. Definition and general properties of bordism with singularities 7 2. Spectral sequence of a singularity 13 3. Multiplicative properties of the spectral sequence of a singularity 17 Chapter II. Quadrilateral of Spectral Sequences 23 1. Adams-Novikov spectral sequence in categories 23 2. Properties of the Adams-Novikov spectral sequence 25 3. Construction of the quadrilateral of spectral sequences 33 4. Algebraic spectral sequences 37 5. Examples 47 Chapter III. Spectral Sequences for MSp 51 1. Modified algebraic spectral sequence for MSp 51 2. First differential of the modified algebraic spectral sequence for MSp 54 3. Triple products of Ray elements 62 Chapter IV. Symplectic Cobordism with Singularities 65 1. The theories MSp;n(.) and MSp;(.) 65 2. Cohomology of MSpn and MSp as modules over the Steenrod algebra 69 3. The theory MSp* (.) 71 4. Symplectic cobordism with singularities in low dimensions 74 Chapter V. Orientability and Splitting of Spectra 79 1. Ray elements as obstructions to orientability of symplectic cobordism 79 2. Splitting of spectra and of their cohomology 82 3. Spectral sequences of singularities and the spectrum BoP 87 Tables 91 References 95