Quadratic forms for surgery

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1 Introduction

Let $(f, b) \colon M \to X$${{Stub}} == Introduction == <wikitex>; Let $(f, b) \colon M \to X$ be a [[degree one normal map]] from a manifold of dimension q$. Then the [[surgery kernel]] of $(f, b)$, $K_q(M)$, comes equipped with a subtle and crucial quadratic refinement. In this page we describe both the algebraic and geometric aspects of such quadratic refinements </wikitex> == Topology == == Algebra == == References == {{#RefList:}} [[Category:Theory]](f, b) \colon M \to X$ be a degree one normal map from a manifold of dimension $2q$$2q$. Then the surgery kernel of $(f, b)$$(f, b)$, $K_q(M)$$K_q(M)$, comes equipped with a subtle and crucial quadratic refinement. In this page we describe both the algebraic and geometric aspects of such quadratic refinements