Derived Manifolds from Functors of Points (Paperback) (ISBN-13: 9783832534059)

In this thesis a functorial approach to the category of derived manifolds is developed. We use a similar approach as Demazure and Gabriel did when they described the category of schemes as a full subcategory of the category of sheaves on the big Zariski site. Their work is further developed leading to the definition of C#-schemes and derived manifolds as certain sheaves on appropriate big sites. The new description of C#-schemes and derived manifolds via functors is compared to the previous approaches via locally ringed spaces given by D. Joyce and D. Spivak. Furthermore, it is proven that both approaches lead to equivalent categories.

Author: Franz Vogler
ISBN-10: 3832534059
ISBN-13: 9783832534059
Publisher: Logos Verlag Berlin
Language: English
Published: 05/10/2013
Pages: 158
Format: Paperback