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Homologically trivial smooth involutions on K3 surfaces. (English) Zbl 0808.57013
Matsumoto, Y. (ed.) et al., Aspects of low dimensional manifolds. Tokyo: Kinokuniya Company Ltd.. Adv. Stud. Pure Math. 20, 365-376 (1992).
In this very nice paper, the author demonstrates, using only the $$G$$- signature theorem and standard branched covering arguments, that if there is an orientation preserving locally linear involution on a closed connected oriented spin 4-manifold $$M$$ with $$H_ 1(M; \mathbb{Z}_ 2) = 0$$ which operates as the identity on $$H_ 2(M; \mathbb{Q})$$, then the signature of $$M$$ vanishes.
For the entire collection see [Zbl 0771.00015].

##### MSC:
 57N13 Topology of the Euclidean $$4$$-space, $$4$$-manifolds (MSC2010) 57S17 Finite transformation groups