| Softcover ISBN: | 978-2-85629-990-6 |
| Product Code: | AST/449 |
| List Price: | $63.00 |
| AMS Member Price: | $50.40 |
| Softcover ISBN: | 978-2-85629-990-6 |
| Product Code: | AST/449 |
| List Price: | $63.00 |
| AMS Member Price: | $50.40 |
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Book DetailsAstérisqueVolume: 449; 2024; 482 ppMSC: Primary 55; 18
The authors study ordered configuration spaces of compact manifolds with boundary. They show that for a large class of such manifolds, the real homotopy type of the configuration spaces only depends on the real homotopy type of the pair consisting of the manifold and its boundary. Moreover, they describe explicit real models of these configuration spaces using three different approaches. They do this by adapting previous constructions for configuration spaces of closed manifolds which relied on Kontsevich’s proof of the formality of the little disks operads.
The authors also prove that our models are compatible with the richer structure of configuration spaces, respectively a module over the Swiss-Cheese operad, a module over the associative algebra of configurations in a collar around the boundary of the manifold, and a module over the little disks operad.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The authors study ordered configuration spaces of compact manifolds with boundary. They show that for a large class of such manifolds, the real homotopy type of the configuration spaces only depends on the real homotopy type of the pair consisting of the manifold and its boundary. Moreover, they describe explicit real models of these configuration spaces using three different approaches. They do this by adapting previous constructions for configuration spaces of closed manifolds which relied on Kontsevich’s proof of the formality of the little disks operads.
The authors also prove that our models are compatible with the richer structure of configuration spaces, respectively a module over the Swiss-Cheese operad, a module over the associative algebra of configurations in a collar around the boundary of the manifold, and a module over the little disks operad.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
