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| Authors: | Zhi Lü |
| Affiliation: | Institute of Mathematics, Fudan University, Shanghai, 200433, People's Republic of China |
| Abstract: | Suppose that  is a smooth  -action on a closed smooth  -dimensional manifold such that all Stiefel-Whitney classes of the tangent bundle to each connected component of the fixed point set  vanish in positive dimension. This paper shows that if  and each  -dimensional part  possesses the linear independence property, then  bounds equivariantly, and in particular,  is the best possible upper bound of  if  is nonbounding. |
| Keywords: | $({mathbb{Z}}_2)^k$-action equivariant cobordism linear independence condition |
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