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Lectures on Differential Topology
About this Title
Riccardo Benedetti, University of Pisa, Pisa, Italy
Publication: Graduate Studies in Mathematics
Publication Year:
2021; Volume 218
ISBNs: 978-1-4704-6271-0 (print); 978-1-4704-6673-2 (online)
DOI: https://doi.org/10.1090/gsm/218
Table of Contents
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Front/Back Matter
Chapters
- The smooth category of open subsets of Euclidean spaces
- The category of embedded smooth manifolds
- Stiefel and Grassmann manifolds
- The category of smooth manifolds
- Tautological bundles and pull-back
- Compact embedded smooth manifolds
- Cut and paste compact manifolds
- Transversality
- Morse functions and handle decompositions
- Bordism
- Smooth cobordism
- Applications of cobordism rings
- Line bundles, hypersurfaces, and cobordism
- Euler-Poincaré characteristic
- Surfaces
- Bordism characteristic numbers
- The Pontryagin-Thom construction
- High-dimensional manifolds
- On 3-manifolds
- On 4-manifolds
- Baby categories
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