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math.GT2025
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.GT2024
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…