On Non-zero Degree Maps between Quasitoric 4-Manifolds

2013/01/04 by Djordje Baralić, Baralic, Djordje
Mathematics · #55N33 #57N65 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1301.0848

openalex publication_date 2013/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the map degrees between quasitoric 4-manifolds. Our results rely on Theorems proved by Duan and Wang. We determine the set D (M, N) of all possible map degrees from M to N when M and N are certain quasitoric 4-manifolds. The obtained sets of integers are interesting, e. g. those representable as the sum of two squares D (C P²#C P², C P²) or the sum of three squares D (C P² # C P² # C P², C P²). Beside the general results about the map degrees between quasitoric 4-manifolds, the connections among Duan-Wang's approach, the quadratic forms, the number theory and the lattices is established.

Citations

• Non-zero degree maps between 2n-manifolds

Related

• Degree one maps on four manifolds with cyclic fundamental groups
• Non-zero degree maps between 3-manifolds
• A topological interpretation of numbers
• On the realisation problem for mapping degree sets
• Equilibrium triangulations of some quasitoric 4-manifolds