activity
20192023
most citedMultipartitioning topological phases by vertex states and quantum entanglement

32 citations · 71 across the 8 of their papers we have counts for

collaborators

8 papers

cond-mat.str-el2023★ 12 cited

Multipartite entanglement in two-dimensional chiral topological liquids

Yuhan Liu, Yuya Kusuki, Jonah Kudler-Flam +2

The multipartite entanglement structure for the ground states of two dimensional topological phases is an interesting albeit not well understood question. Utilizing the bulk-bounda…

cond-mat.str-el2022★ 16 cited

Operator fusion from wavefunction overlaps: Universal finite-size corrections and application to Haagerup model

Yuhan Liu, Yijian Zou, Shinsei Ryu

Given a critical quantum spin chain described by a conformal field theory (CFT) at long distances, it is crucial to understand the universal conformal data. One most important ingr…

math.DG2022

Rotational hypersurfaces with constant Gauss-Kronecker curvature

Yuhang Liu, Yunchu Dai

We study rotational hypersurfaces with constant Gauss-Kronecker curvature. We solve the ODE for the generating curves of such hypersurfaces and analyze several geometric properties…

cond-mat.str-el2021★ 32 cited

Multipartitioning topological phases by vertex states and quantum entanglement

Yuhan Liu, Ramanjit Sohal, Jonah Kudler-Flam +1

We discuss multipartitions of the gapped ground states of (2+1)-dimensional topological liquids into three (or more) spatial regions that are adjacent to each other and meet at poi…

cond-mat.str-el2020★ 11 cited

Gauging anomalous unitary operators

Yuhan Liu, Hassan Shapourian, Paolo Glorioso +1

Boundary theories of static bulk topological phases of matter are obstructed in the sense that they cannot be realized on their own as isolated systems. The obstruction can be quan…

math.AG2020

Donaldson-Thomas theory of quantum Fermat quintic threefolds II

Yu-Hsiang Liu

This paper is a continuation of author's previous work arXiv:1911.07949, where we defined Donaldson-Thomas invariants of quantum Fermat threefolds. In this paper, we study the gene…

math.AG2019

Donaldson-Thomas theory of quantum Fermat quintic threefolds I

Yu-Hsiang Liu

In this paper, we study non-commutative projective schemes whose associated non-commutative graded algebras are finite over their centers. We study their moduli spaces of stable sh…

math.DG2019

On Closed 6-Manifolds Admitting Riemannian Metrics with Positive Sectional Curvature and Non-Abelian Symmetry

Yuhang Liu

We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive sectional curvature which admit isometric actions by or . We show t…