Stably irreducible non-orientable knotted surfaces

Key Points

• 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