The finding reveals an elementary obstruction affecting reducibility in knotted surfaces, further broadening its implications.
This discovery offers essential insights into the properties of non-orientable surfaces in four-dimensional space.
The analysis utilizes topological properties to construct stably irreducible non-orientable surfaces effectively.
Understanding reducibility in knotted surfaces highlights greater challenges in four-dimensional topology.
Abstract
We give an elementary obstruction to reducibility for knotted surfaces in the four-sphere. As a new application, we construct stably irreducible non-orientable surfaces.