136 citations · 774 across the 129 of their papers we have counts for
132 papers
Transverse rational curves and the LeBrun--Salamon conjecture
Zhengyu Hu, Kefeng Liu, Xueyuan Wan
We prove that every compact connected positive quaternionic--Kähler manifold of real dimension with is isometric to a Wolf space after rescaling the metric by a positi…
Stable ample vector bundles without semipositive Kobayashi curvature
Kefeng Liu, Xueyuan Wan
We construct slope-stable ample rank-two vector bundles on every Hirzebruch surface that admit no smooth strongly pseudoconvex Finsler metric with semipositive Kobay…
Cyclotomic expansions for double twist knots with an odd number of half-twists
Qingtao Chen, Kefeng Liu, Shengmao Zhu
In this note, we compute the cyclotomic expansion formula for colored Jones polynomial of double twist knots with an odd number of half-twists by usin…
Affine geometry and Frobenius algebra
Kefeng Liu, Hao Xu, Yanhui Zhi
The associativity of the multiplication on a Frobenius manifold is equivalent to the WDVV equation of a symmetric cubic form in flat coordinates. Frobenius manifold could be regard…
Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots
Qingtao Chen, Kefeng Liu, Shengmao Zhu
In this short note, we prove the cyclotomic expansion formula for the colored HOMFLY-PT invariant of double twist knots, it confirms the cyclotomic expansion conjecture for …
Cubic forms, anomaly cancellation and modularity
Fei Han, Ruizhi Huang, Kefeng Liu +1
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin, spin and orientable 12-manifolds res…