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20242026
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math.GT2026

A topological interpretation of numbers

Christoforos Neofytidis

The paper surveys recent results showing that any finite set containing zero can be realized as the set of mapping degrees between some n‑manifolds (for n ≥ 3), using constructions…

math.GT2025

On -injectivity of self-maps in low dimensions

Christoforos Neofytidis

We show that all self-maps of non-zero degree of -manifolds not covered by and of Thurston geometric -manifolds and their connected sums not covered by $N\#(\#_{p\geq0}…

math.GT2025

Strongly chiral rational homology spheres with hyperbolic fundamental groups

Christoforos Neofytidis

For each and any prime , we construct strongly chiral rational homology -spheres, which have real hyperbolic fundamental groups and o…

math.GT2025

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets

Christoforos Neofytidis, Hongbin Sun, Ye Tian +2

Let be an oriented circle bundle over a closed oriented aspherical -manifold with Euler class , . We prove the following: (i) If e…

math.GT2025

Pseudo-Anosov surfaces and Dynamics in 3-manifolds

Jason F. Manning, Christoforos Neofytidis

We determine which closed orientable -manifolds admit a self-homeomorphism restricting to a pseudo-Anosov map on an incompressible subsurface , which we call a pseudo-An…

math.GT2024

Endomorphisms of mapping tori

Christoforos Neofytidis

We classify in terms of Hopf-type properties mapping tori of residually finite Poincaré Duality groups with non-zero Euler characteristic. This generalises and gives a new proof o…