Cambridge University Press Cambridge Equivariant Stable Homotopy Theory - Math Monograph

Explore the resolution of the Kervaire invariant problem, a landmark achievement in homotopy theory. This volume from Cambridge University Press provides a comprehensive look at a problem that originated in geometric and differential topology during the 1960s and became one of the most significant challenges in the field. Following the 2009 announcement of a solution, which received wide acclaim in a landmark Annals of Mathematics paper, this book offers a detailed presentation of the proof. Because the original proof uses sophisticated tools from modern equivariant stable homotopy theory that may be unfamiliar to non-experts, the authors include a full development of all necessary background material. This makes the complex mathematical concepts accessible to readers looking to understand the depth and methodology used to solve this long-standing problem.