Magnetic Equivariant K-Theory: Topological Invariants of Magnetic Symmetries
暫譯: 磁性等變 K-理論：磁性對稱的拓撲不變量

Uribe Jongbloed, Bernardo, Serrano Garcia, Higinio, Xicoténcatl Merino, Miguel Alejandro

Magnetic Equivariant K-Theory: Topological Invariants of Magnetic Symmetries
  • 出版商: Springer
  • 出版日期: 2026-01-11
  • 售價: $2,280
  • 貴賓價: 9.5 折 $2,166
  • 語言: 英文
  • 頁數: 92
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3032059135
  • ISBN-13: 9783032059130
  • 相關分類: 量子 Quantum

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This book addresses state of the art techniques which have rapidly evolved from the first studies of the Quantum Spin hall effect in graphene to more advanced algebraic topological invariants. Additionally, this book provides a comprehensive study of the topological properties of complex vector bundles endowed with actions of magnetic groups. Of particular interest is the description of the tools that will assist in performing the calculations of those invariants for prescribed spaces with magnetic symmetries. One relevant case is the determination of topological invariants in the electronic structure of magnetic crystals. The results of this book will aid researchers in finding the topological invariants of gapped Hamiltonians for specific magnetic symmetries in crystals.

商品描述(中文翻譯)

本書探討了從石墨烯中量子自旋霍爾效應的首次研究迅速演變而來的尖端技術，直到更先進的代數拓撲不變量。此外，本書提供了對於具備磁性群作用的複雜向量束的拓撲性質的全面研究。特別感興趣的是描述將協助計算這些不變量的工具，針對具有磁性對稱性的指定空間進行計算。一個相關的案例是確定磁性晶體電子結構中的拓撲不變量。本書的結果將幫助研究人員找到特定磁性對稱性下的有隙哈密頓量的拓撲不變量。

作者簡介

Bernardo Uribe is a professor of mathematics, with more than 20 years of experience in equivariant algebraic topology. He has written more than 30 research papers in algebraic topology and around 8 papers in theoretical and computational aspects of topological insulators in condensed matter physics.

作者簡介(中文翻譯)

伯納多·烏里貝是一位數學教授，擁有超過20年的等變代數拓撲經驗。他在代數拓撲領域撰寫了超過30篇研究論文，並在凝聚態物理學中關於拓撲絕緣體的理論和計算方面發表了約8篇論文。

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