Introduction to 3-manifolds / Jennifer Schultens
Material type:
- 9781470454715
- 514.34 SCH-J
Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds | |
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BITS Pilani Hyderabad | 510 | General Stack (For lending) | 514.34 SCH-J (Browse shelf(Opens below)) | Available | 42412 |
This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology. The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialized topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex. With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds.
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