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On non-orientable surfaces in 4-manifolds
by
Rustam Sadykov
Kansas State University
Coauthors: Dave Auckly
We find conditions under which a non-orientable closed surface embedded into an orientable closed 4-manifold X can be represented by a connected sum of an embedded closed surface in X and an unknotted projective plane in a 4-sphere. This allows us to extend the Gabai 4-dimensional light bulb theorem and the Auckly-Kim-Melvin-Ruberman-Schwartz one is enough theorem to the case of non-orientable surfaces.
Date received: December 17, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-30.