Indecomposable surface bundles over surfaces
R. Inanc Baykur, Dan Margalit
TL;DR
This paper constructs infinitely many indecomposable surface bundles over surfaces with specified genera, demonstrating their distinct homotopy types and providing explicit examples for each pair of genera.
Contribution
It introduces explicit constructions of indecomposable surface bundles over surfaces for all relevant genus pairs, expanding the known examples in the field.
Findings
Infinite families of indecomposable surface bundles constructed.
Total spaces are pairwise homotopy inequivalent.
Explicit examples for each genus pair provided.
Abstract
For each pair of integers g at least 2 and h at least 1, we explicitly construct infinitely many fiber sum and section sum indecomposable genus g surface bundles over genus h surfaces whose total spaces are pairwise homotopy inequivalent.
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 · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory