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Toric Topology
About this Title
Victor M. Buchstaber, Steklov Mathematical Institute, Moscow, Russia and Taras E. Panov, Moscow State University, Russia
Publication: Mathematical Surveys and Monographs
Publication Year:
2015; Volume 204
ISBNs: 978-1-4704-2214-1 (print); 978-1-4704-2499-2 (online)
DOI: https://doi.org/10.1090/surv/204
MathSciNet review: MR3363157
MSC: Primary 57Sxx; Secondary 13F55, 14M25, 52B20, 55N22, 55P62, 57Qxx
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Geometry and combinatorics of polytopes
- Chapter 2. Combinatorial structures
- Chapter 3. Combinatorial algebra of face rings
- Chapter 4. Moment-angle complexes
- Chapter 5. Toric varieties and manifolds
- Chapter 6. Geometric structures on moment-angle manifolds
- Chapter 7. Half-dimensional torus actions
- Chapter 8. Homotopy theory of polyhedral products
- Chapter 9. Torus actions and complex cobordism
- Appendix A. Commutative and homological algebra
- Appendix B. Algebraic topology
- Appendix C. Categorical constructions
- Appendix D. Bordism and cobordism
- Appendix E. Formal group laws and Hirzebruch genera