Gentle Introduction to Homological Mirror Symmetry

Originating in mathematical physics, homological mirror symmetry reveals deep connections between different areas of geometry and algebra. This book, which is aimed at graduate students, offers a self-contained and accessible introduction to the subject from the perspective of representation theory of algebras and quivers.

List of contents

Part I. To A¿ and Beyond: 1. Categories; 2. Cohomology; 3. Higher products; 4. Quivers; Part II. A Glance through the Mirror: 5. Motivation from physics; 6. The A-side; 7. The B-side; 8. Mirror symmetry; Part III. Reflections on Surfaces: 9. Gluing; 10. Grading; 11. Stabilizing; 12. Deforming; References; Index.

About the author

Raf Bocklandt is Lecturer in Mathematics at the University of Amsterdam.

Product details

• Authors: Raf Bocklandt, Raf (Universiteit Van Amsterdam) Bocklandt
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 30.09.2021
• EAN: 9781108728751
• ISBN: 978-1-108-72875-1
• No. of pages: 400
• Series: London Mathematical Society Student Texts; London Mathematical Society St
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Algebra, MATHEMATICS / Topology, Algebraic Geometry, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Mathematical physics, Algebraic Topology