Cyclic polytopes, orientals, and correspondences: Some aspects of Higher Segal spaces
Abstract
We discuss the role of higher Segal spaces at the interface of cyclic polytopes, orientals, and higher correspondences. Along the way we review examples from algebraic K-theory, show how cyclic polytopes provide a geometric model for the definition of orientals, and establish a characterization of higher Segal spaces as lax monads in higher correspondence categories.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematics and Applications
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 131–158
- Publication date
- 1 January 2026
- Language
- EN