papers

You can also find them on arXiv.

2026

  1. debray2024smithfibersequenceinvertible.png
    The Smith Fiber Sequence of Invertible Field Theories
    Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski, Yu Leon Liu, Natalia Pacheco-Tallaj, and Ryan Thorngren
    2026

2025

  1. debray2024longexactsequencesymmetry.png
    A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
    Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski, Yu Leon Liu, Natalia Pacheco-Tallaj, and Ryan Thorngren
    2025

2024

  1. liu2024mathbbenalgebrasmcategories.png
    En-algebras in m-categories
    Yu Leon Liu
    2024
  2. dubey2024unitalkrestrictedinfinityoperads.png
    Unital k-Restricted Infinity-Operads
    Amartya Shekhar Dubey, and Yu Leon Liu
    2024
  3. liu2024bordismsthreemanifoldsdomainwalls.png
    From bordisms of three-manifolds to domain walls between topological orders
    Yu Leon Liu, and Dalton A R Sakthivadivel
    2024
  4. liu2024braidingcomplexorientedsoergel.png
    Braiding on complex oriented Soergel bimodules
    Yu Leon Liu
    2024
  5. liu2024braidedmonoidalinfty2categorysoergel.png
    A braided monoidal (∞,2)-category of Soergel bimodules
    Yu Leon Liu, Aaron Mazel-Gee, David Reutter, Catharina Stroppel, and Paul Wedrich
    2024
  6. pace2024topological.png
    Topological aspects of brane fields: Solitons and higher-form symmetries
    Salvatore D Pace, and Yu Leon Liu
    SciPost Physics, 2024

2023

  1. MR4665630.png
    Constructing the Virasoro groups using differential cohomology
    Arun Debray, Yu Leon Liu, and Christoph Weis
    Int. Math. Res. Not. IMRN, 2023
  2. MR4544189.png
    Abelian duality in topological field theory
    Yu Leon Liu
    Comm. Math. Phys., 2023