Lectures on Complex geometry, Calabi-Yau manifolds and Toric Geometry by Vincent Bouchard - PDF
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About this book :-
This book is a helpful guide for anyone studying complex geometry, especially those interested in string theory. It explains difficult ideas in a way that’s easy to understand, and it’s a good resource for students or researchers who want to learn more about Calabi-Yau manifolds and toric geometry. These lecture notes talks about complex geometry, focusing on two main ideas: Calabi-Yau manifolds and toric geometry. It's aimed at advanced students or researchers who already have some knowledge of geometry.
Complex Geometry: The book starts by explaining complex manifolds, which are shapes that look like complex spaces. It also introduces the idea of holomorphic functions, which are functions that work well with complex numbers. The book also discusses Kähler metrics, which are a special kind of measurement used in complex geometry.
Calabi-Yau Manifolds: These are a special kind of complex manifold with a property that makes them important in string theory. The book explains how these manifolds have a certain kind of shape that’s useful in physics. It also talks about mirror symmetry, which is a concept from string theory where two different-looking Calabi-Yau manifolds can actually have similar physical properties.
Toric Geometry: Toric geometry is a method used to study complex shapes that have symmetries, especially ones that act like a torus (the shape of a donut). This part of the book explains how you can use combinatorics (the study of shapes and numbers) to understand these symmetries and construct Calabi-Yau manifolds.
Applications to Physics: The book also explains how these mathematical concepts are used in string theory, which is a branch of physics that tries to explain the universe. Calabi-Yau manifolds are important in understanding how extra dimensions of space work in string theory, and mirror symmetry helps connect different theories in physics.
Book Detail :-
This book has following details information.
Title:
Lectures on Complex geometry, Calabi-Yau manifolds and Toric Geometry by Vincent Bouchard - PDF
Publisher:
arXiv
Year:
2007
Pages:
63
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
1. Complex Geometry
2. Kahler Geometry
3. Calabi–Yau Geometry
4. Toric Geometry
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