10 citations · 64 across the 25 of their papers we have counts for
19 papers · 1 filter
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…
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}…
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 -manifold with and assume that is aspherical. We prove the following geometric realization resu…
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-Ano…
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…
On the realisation problem for mapping degree sets
Christoforos Neofytidis, Hongbin Sun, Ye Tian +2
The set of degrees of maps , where are closed oriented -manifolds, always contains and the set of degrees of self-maps always contains and . Also…
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…
Realising sets of integers as mapping degree sets
Christoforos Neofytidis, Shicheng Wang, Zhongzi Wang
Given two closed oriented manifolds of the same dimension, we denote the set of degrees of maps from to by . The set always contains zero. We show th…
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…
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 in terms of this Kodaira dimension. We show that the Kodaira…
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…
Virtual Betti numbers of mapping tori of 3-manifolds
Christoforos Neofytidis
Given a reducible -manifold with an aspherical summand in its prime decomposition and a homeomorphism , we construct a map of degree one from a finite cover…
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…
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…
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 on each incompressible surface that is invariant under a self-homeomorphism of . As an application o…
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…
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.
Fundamental groups of aspherical manifolds and maps of non-zero degree
Christoforos Neofytidis
We define a new class of irreducible groups, called groups not infinite-index presentable by products or not IIPP. We prove that certain aspherical manifolds with fundamental group…
Branched coverings of simply connected manifolds
Christoforos Neofytidis
We construct branched double coverings by certain direct products of manifolds for connected sums of copies of sphere bundles over the 2-sphere. As an application we answer a quest…