# nLab Ambidexterity in K(n)-Local Stable Homotopy Theory

Contents

### Context

#### Stable Homotopy theory

stable homotopy theory

Introduction

# Contents

on bilimits in K(n)-local stable homotopy theory and generally on ambidextrous adjunctions and their un-twisted Wirthmüller isomorphisms for ∞-module bundles in semiadditive (∞,1)-categories.

(The untwisted Wirthmüller isomorphism is the map $\mu$ in Construction 4.0.7 and then the norm map in Remark 4.1.12. The induced integration map considered in Construction 4.0.7, Notation 4.1.6 there is also discussed (for the general twisted case) in the note Type-semantics for quantization, see section 4.3 there for details).

The discussion in the article is apparently motivated as part of what it takes to make precise the discussion of quantization in sections 3 and 8 of

For the 2014 installment of UOregon’s Moursund Lecture Series, Jacob Lurie gave three (video recorded) lectures on spectral algebraic geometry, one of which is

# Contents

## 5. Ambidexterity of $K(n)$-Local stable homotopy theory

### 5.4 The global sections functor

category: reference

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