4 problems

Let $\mathbb X$ be a compact effective orbifold, let $f$ be a stable Morse function on $\mathbb X$, and let $C_{\operatorname{co}}$ be the coinvariant Morse chain complex over…

Equivariant chain-level isomorphism conjecture. The chain complexes $(C^\epsilon,\partial^\epsilon)$ and $(\boldsymbol{C},\boldsymbol{\partial})$ are isomorphic as $\mathbb{Z}[G]$-…

Broken-trajectory homology conjecture. There is an isomorphism

Thom-Smale-Witten quasi-isomorphism conjecture. The Thom-Smale-Witten complex of $(f^\epsilon,g)$ is quasi-isomorphic to $(\check{\mathbb{C}},\check{\partial})$.