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Spectral Networks: Bridging Higher-Rank Teichmüller Theory and Bps States

Spectral Networks: Bridging Higher-Rank Teichmüller Theory and Bps States

Paperback

Series: Lecture Notes in Mathematics, Book 2386

General ComputersGeneral MathematicsGeometry

ISBN10: 3032092183
ISBN13: 9783032092182
Publisher: Springer
Published: Apr 26 2026
Pages: 524
Weight: 1.68
Height: 1.12 Width: 6.14 Depth: 9.21
Language: English
This open access book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the foundational background needed to approach the frontiers of this rapidly evolving field, treating geometric and physical aspects in parallel. After surveying fundamental topics in algebra and geometry, a detailed introduction to higher-rank Teichmüller theory is developed, including Fock-Goncharov theory for Hitchin representations, maximal representations and the more recent notion of Θ-positivity.

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General Mathematics