Toric Topology. Chapter 3: Commutative and homological algebra of face rings
Victor Buchstaber, Taras Panov
TL;DR
This chapter introduces the algebraic structures of face rings in toric topology, focusing on their commutative and homological properties, and sets the stage for further exploration in subsequent chapters.
Contribution
It provides an in-depth analysis of the algebraic and homological aspects of face rings within the context of toric topology, expanding theoretical understanding.
Findings
Detailed examination of face rings' algebraic properties
Development of homological tools for face rings
Foundation for future chapters in toric topology
Abstract
This is the third chapter in our "Toric Topology" book project. Further chapters are coming. Comments and suggestions are very welcome.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Geometric and Algebraic Topology