Toric Topology. Chapter 1: Geometry and combinatorics of polytopes
Victor Buchstaber, Taras Panov
TL;DR
This chapter introduces the fundamental concepts of toric topology, focusing on the geometry and combinatorics of polytopes, laying the groundwork for subsequent chapters in the book.
Contribution
It provides an initial comprehensive overview of the geometric and combinatorial aspects of polytopes within toric topology, setting the stage for future detailed chapters.
Findings
Introduces key concepts in polytopes relevant to toric topology
Establishes foundational geometric and combinatorial frameworks
Prepares readers for advanced topics in subsequent chapters
Abstract
This is the first chapter in our "Toric Topology" book project. Further chapters are coming. Comments and suggestions are very welcome.
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Taxonomy
TopicsMathematics and Applications