C. Neofytidis

activity

20122026

most citedFundamental groups of aspherical manifolds and maps of non-zero degree

10 citations · 64 across the 25 of their papers we have counts for

collaborators

26 papers

math.GT2026

A topological interpretation of numbers

Christoforos Neofytidis

We survey recent advancements on the realisation problem for mapping degree sets. In particular, we explain that any finite set containing zero is the mapping degree set between so…

math.GT2025

On $π_{1}$ -injectivity of self-maps in low dimensions

Christoforos Neofytidis

We show that all self-maps of non-zero degree of $3$ -manifolds not covered by $S^{3}$ and of Thurston geometric $4$ -manifolds and their connected sums not covered by $N\#(\#_{p\geq0}…

math.GT2025

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

Christoforos Neofytidis, Hongbin Sun, Ye Tian +2

Let $E_{i}$ be an oriented circle bundle over a closed oriented $n$ -manifold $M_{i}$ with $i = 1, 2$ and assume that $M_{2}$ is aspherical. We prove the following geometric realization resu…

math.GT2025

Pseudo-Anosov surfaces and Dynamics in 3-manifolds

Jason F. Manning, Christoforos Neofytidis

We determine which closed orientable $3$ -manifolds $M$ admit a self-homeomorphism restricting to a pseudo-Anosov map on an incompressible subsurface $Σ$ , which we call a pseudo-Ano…

math.GT2024

Strongly chiral rational homology spheres with hyperbolic fundamental groups

Christoforos Neofytidis

For each $m \geq 0$ and any prime $p \equiv 3 (mod 4)$ , we construct strongly chiral rational homology $(4 m + 3)$ -spheres, which have real hyperbolic fundamental groups and o…

math.GT2023★ 1 cited

On the realisation problem for mapping degree sets

Christoforos Neofytidis, Hongbin Sun, Ye Tian +2

The set of degrees of maps $D (M, N)$ , where $M, N$ are closed oriented $n$ -manifolds, always contains $0$ and the set of degrees of self-maps $D (M)$ always contains $0$ and $1$ . Also…

math.AT2022★ 1 cited

Topological complexity, asphericity and connected sums

Christoforos Neofytidis

We show that if a closed oriented $n$ -manifold $M$ has a non-trivial cohomology class of even degree $k$ , whose all pullbacks to products of type $S^{1} \times N$ vanish, then the top…

math.GT2022

Geometric structures in Topology, Geometry, Global Analysis and Dynamics

Christoforos Neofytidis

Following Thurston's geometrisation picture in dimension three, we study geometric manifolds in a more general setting in arbitrary dimensions, with respect to the following proble…

math.GT2021★ 4 cited

Realising sets of integers as mapping degree sets

Christoforos Neofytidis, Shicheng Wang, Zhongzi Wang

Given two closed oriented manifolds $M, N$ of the same dimension, we denote the set of degrees of maps from $M$ to $N$ by $D (M, N)$ . The set $D (M, N)$ always contains zero. We show th…

math.GT2020

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 of…

math.GT2020

Geometric structures, the Gromov order, Kodaira dimensions and simplicial volume

Christoforos Neofytidis, Weiyi Zhang

We introduce an axiomatic definition for the Kodaira dimension and classify Thurston geometries in dimensions $\leq 5$ in terms of this Kodaira dimension. We show that the Kodaira…

math.DS2019★ 2 cited

Anosov diffeomorphisms on Thurston geometric 4-manifolds

Christoforos Neofytidis

A long-standing conjecture asserts that any Anosov diffeomorphism of a closed manifold is finitely covered by a diffeomorphism which is topologically conjugate to a hyperbolic auto…

math.GT2018★ 7 cited

The simplicial volume of mapping tori of 3-manifolds

Michelle Bucher, Christoforos Neofytidis

We prove that any mapping torus of a closed 3-manifold has zero simplicial volume. When the fiber is a prime 3-manifold, classification results can be applied to show vanishing of…

math.GT2018

Virtual Betti numbers of mapping tori of 3-manifolds

Christoforos Neofytidis

Given a reducible $3$ -manifold $M$ with an aspherical summand in its prime decomposition and a homeomorphism $f : M \to M$ , we construct a map of degree one from a finite cover…

math.AT2018★ 1 cited

Steenrod problem and the domination relation

Jean-François Lafont, Christoforos Neofytidis

We indicate how to combine some classical topology (Thom's work on the Steenrod problem) with some modern topology (simplicial volume) to show that every map between certain manifo…

math.DS2018★ 5 cited

Anosov diffeomorphisms of products II. Aspherical manifolds

Christoforos Neofytidis

We study aspherical manifolds that do not support Anosov diffeomorphisms. Weakening conditions of Gogolev and Lafont, we show that the product of an infranilmanifold with finitely…

math.GT2017

On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups

Christoforos Neofytidis

We prove that a circle bundle over a closed oriented aspherical manifold with hyperbolic fundamental group admits a self-map of absolute degree greater than one if and only if it i…

math.AT2017★ 3 cited

Sets of degrees of maps between SU(2)-bundles over the 5-sphere

Jean-François Lafont, Christoforos Neofytidis

We compute the sets of degrees of maps between principal $S U (2)$ -bundles over $S^{5}$ , i.e. between any of the manifolds $S U (2) \times S^{5}$ and $S U (3)$ . We show that the Steenrod squa…

math.DS2017★ 4 cited

Anosov diffeomorphisms of products I. Negative curvature and rational homology spheres

Christoforos Neofytidis

We show that various classes of products of manifolds do not support transitive Anosov diffeomorphisms. Exploiting the Ruelle-Sullivan cohomology class, we prove that the product o…

math.GT2017★ 1 cited

Domination between different products and finiteness of associated semi-norms

Christoforos Neofytidis

In this note we determine all possible dominations between different products of manifolds, when none of the factors of the codomain is dominated by products. As a consequence, we…

math.GT2017★ 2 cited

Invariant incompressible surfaces in reducible 3-manifolds

Christoforos Neofytidis, Shicheng Wang

We study the effect of the mapping class group of a reducible 3-manifold $M$ on each incompressible surface that is invariant under a self-homeomorphism of $M$ . As an application o…

math.GT2016★ 7 cited

Ordering Thurston's geometries by maps of non-zero degree

Christoforos Neofytidis

We obtain an ordering of closed aspherical 4-manifolds that carry a non-hyperbolic Thurston geometry. As application, we derive that the Kodaira dimension of geometric 4-manifolds…

math.AT2015★ 3 cited

Degrees of self-maps of products

Christoforos Neofytidis

Every closed oriented manifold $M$ is associated with a set of integers $D (M)$ , the set of self-mapping degrees of $M$ . In this paper we investigate whether a product $M \times N$ a…

math.GT2015★ 4 cited

On stability of non-domination under taking products

D. Kotschick, C. Loeh, C. Neofytidis

We show that non-domination results for targets that are not dominated by products are stable under Cartesian products.

A topological interpretation of numbers

On π1​-injectivity of self-maps in low dimensions

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

Pseudo-Anosov surfaces and Dynamics in 3-manifolds

Strongly chiral rational homology spheres with hyperbolic fundamental groups

On the realisation problem for mapping degree sets

Topological complexity, asphericity and connected sums

Geometric structures in Topology, Geometry, Global Analysis and Dynamics

Realising sets of integers as mapping degree sets

Endomorphisms of mapping tori

Geometric structures, the Gromov order, Kodaira dimensions and simplicial volume

Anosov diffeomorphisms on Thurston geometric 4-manifolds

The simplicial volume of mapping tori of 3-manifolds

Virtual Betti numbers of mapping tori of 3-manifolds

Steenrod problem and the domination relation

Anosov diffeomorphisms of products II. Aspherical manifolds

On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups

Sets of degrees of maps between SU(2)-bundles over the 5-sphere

Anosov diffeomorphisms of products I. Negative curvature and rational homology spheres

Domination between different products and finiteness of associated semi-norms

Invariant incompressible surfaces in reducible 3-manifolds

Ordering Thurston's geometries by maps of non-zero degree

Degrees of self-maps of products

On stability of non-domination under taking products

On $π_{1}$ -injectivity of self-maps in low dimensions