Determination of bounds on the dimension of manifolds with involutions fixing $F^n\cup F^4$

Arijit Nath, Avijit Nath

Let $M^m$ be an $m$-dimensional, smooth and closed manifold, equipped with a smooth involution $T:M^m\to M^m$ fixing submanifolds $F^n$ and $F^4$ of dimensions $n$ and $4$,…