Book Review: Cohomology operations

Operations Research Letters Book Review

“Planning and Scheduling in Manufacturing and Services” written by Michael L. Pinedo and published in the Springer Series in Operations Research is a recent book intended for a senior level or master level course on planning and scheduling either in an engineering or a business school. The book consists of four parts. Part I introduces the main features of scheduling models in manufacturing and...

Book Review

...........................

Cohomology operations and algebraic geometry

This manuscript is based on a ten hours series of seminars I delivered in August of 2003 at the Nagoya Institute of Technology as part of the workshop on homotopy theory organized by Norihiko Minami and following the Kinosaki conference in honor of Goro Nishida. One of the most striking applications of homotopy theory in “exotic” contexes is Voevodsky’s proof of the Milnor Conjecture. This conj...

Stable Operations in Generalized Cohomology

Geometric Objects and Cohomology Operations

Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology of it. In the literature, there exist various algorithms for computing the homology groups of simplicial complexes ([Mun84], [DE95,ELZ00], [DG98]), but concerning the algorithmic treatment of cohomology operations, very little is known. In this paper, we establish a versi...