Corrections to: Involutions fixing $\Bbb{RP}^{\text{odd}}\sqcup P(h,i)$, II
The purpose of this note is to correct statements of some assertions in \cite{l}.
math.AT↗
arXiv subjects
Zhi Lü
Publications and source records attributed to Zhi Lü.
Small Covers over Prisms
In this paper we calculate the number of equivariant diffeomorphism classes of small covers over a prism.
math.DG↗
2-torus manifolds, cobordism and small covers
Let ${\frak M}_n$ be the set of equivariant unoriented cobordism classes of all $n$-dimensional 2-torus manifolds, where an $n$-dimensional 2-torus manifold $M$ is a smooth closed manifold of dimension $n$ with effective smooth action of a rank $n$ 2-torus group $({\Bbb Z}_2)^n$. Then ${\frak M}_n$ forms an abelian group with respect to disjoint union. This paper determines the group structure of ${\frak M}_n$ and shows that each class of ${\frak M}_n$ contains a small cover as its representative in the case $n=3$.
math.AT↗
$({\Bbb Z}_2)^k$-actions with $w(F)=1$
Suppose that $(Φ, M^n)$ is a smooth $({\Bbb Z}_2)^k$-action on a closed smooth $n$-dimensional manifold such that all Stiefel-Whitney classes of the tangent bundle to each connected component of the fixed point set $F$ vanish in positive dimension. This paper shows that if $\dim M^n>2^k\dim F$ and each $p$-dimensional part $F^p$ possesses the linear independence property, then $(Φ, M^n)$ bounds equivariantly, and in particular, $2^k\dim F$ is the best possible upper bound of $\dim M^n$ if $(Φ, M^n)$ is nonbounding.
math.AT↗