3 papers
math.GT2026
Equivariant Morse Homology for Reflection Actions via Broken Trajectories
Erkao Bao, Tyler Lawson, Lina Liu
We consider a finite group acting on a manifold . For any equivariant Morse function, which is a generic condition, there does not always exist an equivariant metric on…
math.GT2026
Invariant and Coinvariant Morse Homologies for Orbifolds
Erkao Bao, Lina Liu
In this note, we construct invariant and coinvariant Morse chain complexes with integer coefficients for any compact effective orbifold. We show that the homologies of these two ch…
math.CO2026
A Colorful Way to Park: An Introduction to Exact -Typed Parking Functions
Aalliyah Celestine, Jacob van der Leeuw, Lina Liu
Parking functions are tuples that describe the parking of cars on a street with parking spots. In this paper, we define exact -typed parking functions (-TPFs) to be a…