Topological matter and its exploration

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Related lectures (31)

Page 3 of 4

Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.

Unified Approach to Deformable Solids

Explores a unified approach to understanding deformable solids and the role of topological defects in material behavior.

Staggered Bosons: Symmetry and Gaplessness

Explores staggered bosons, lattice realizations of gapless field theories with symmetry protection, commutation relations, and criticality.

Fragmentation in Spin Ice Systems

Delves into fragmentation in spin ice systems, covering magnetic ice rules, monopole vacuum, emergent gauge fields, topological defects, and quantum Monte Carlo simulations.

Topology: Fundamental Groups and Surfaces

Discusses fundamental groups, surfaces, and their topological properties in detail.

Topology: Lecture Notes 2021

Covers fundamental concepts of topology, group actions, and Galoisian properties.

Coherent Interfaces: Energetics and Defects

Explores dislocation energy, topological defects, and coherent interfaces in materials.

Quantization: Topological Operators

Covers the quantization process using topological operators and their role in generating symmetries.

Symmetry in Modern Topology

Explores the concept of symmetry in various geometric transformations.

Fundamental Groups

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.