arXiv subjects

Giulia Carfora

Publications and source records attributed to Giulia Carfora.

2 recordsLinked to original sources

arXiv2026

On lens spaces which may embed in the complex projective plane

Using an obstruction derived by Owens and relying on Donaldson's Diagonalisation Theorem, we obtain a complete classification of lens spaces of Lisca type $(2)$ or $(3)$ that are unobstructed from embedding in a homology complex projective plane. This classification is further refined for lens spaces $L(p,q)$ with $p$ even, using an obstruction due to Lidman--Moore--Vazquez based on work of Lin. This article is extracted from the author's PhD thesis.

math.GT↗

arXiv2026

A survey on mapping class groups of 3-manifolds

We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold $M$. We provide a guide to the literature and sketch proofs for various families of irreducible and geometric 3-manifolds. We also consider JSJ and prime decompositions of 3-manifolds, and consequences for their mapping class groups.

math.GT↗