Surgery and involutions on 4-manifolds

Vyacheslav S. Krushkal

doi:10.2140/agt.2005.5.1719

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arXiv · math/0505394

Surgery and involutions on 4-manifolds

Vyacheslav S. Krushkal

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Abstract

We prove that the canonical 4-dimensional surgery problems can be solved after passing to a double cover. This contrasts the long-standing conjecture about the validity of the topological surgery theorem for arbitrary fundamental groups (without passing to a cover). As a corollary, the surgery conjecture is reformulated in terms of the existence of free involutions on a certain class of 4-manifolds. We consider this question and analyze its relation to the A,B-slice problem.

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BibTeX RIS

Vyacheslav S. Krushkal. 2005-12-21. Surgery and involutions on 4-manifolds. https://doi.org/10.2140/agt.2005.5.1719

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