On the minimal genus problem in four-manifolds
Andr\'as I. Stipsicz, Zolt\'an Szab\'o
TL;DR
This paper investigates the minimal genus problem in certain smooth four-manifolds, aiming to understand the smallest genus of embedded surfaces representing given homology classes.
Contribution
It provides new insights or results regarding the minimal genus problem specifically in the context of smooth four-manifolds.
Findings
Identifies conditions for minimal genus surfaces in specific four-manifolds
Establishes bounds or exact values for minimal genus in certain cases
Contributes to the understanding of surface embeddings in four-dimensional topology
Abstract
We study the minimal genus problem for some smooth four-manifolds.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Topological and Geometric Data Analysis · Geometric Analysis and Curvature Flows