Singularities and Low Dimensional Topology

Javier Fernandez de Bobadilla earned his Ph.D. in 2001, from Nijmegen University. He is currently an Ikerbasque Research Professor at the Basque Center for Applied Mathematics. His interests are at the study of singularities and degenerations from topological, geometric and algebraic methods.Marco Marengon received his PhD in 2017, and he is currently a senior research fellow at the Rényi Institute in Budapest. His expertise is in low-dimensional topology, including the topology of smooth 4-manifolds and knot invariants such as Heegaard Floer homology and Khovanov homology.András Némethi received his PhD in 1991, and currently he is a professor  at the  Rényi Institute and the Eötvös Loránd University in  Budapest. His expertise is in  singularity theory of complex algebraic (or analytic) varieties and its connections with low dimensional topology. Since 2020 he is member of the Hungarian Academy of Sciences.András Stipsicz received his PhD in 1994, and currently he is the director (and a professor) of the Rényi Institute in Budapest. His expertise lies in low dimensional topology, especially in the smooth topology of four-manifolds and invariants of three- and four-manifolds, including Seiberg-Witten and Heegaard Floer invariants. Since 2016 he is member of the Hungarian Academy of Sciences.

• Preface.- Chapter 1. Heegaard Floer Homology by C.-M. Michael Wong, Sarah Zampa.- Chapter 2. A Knot-theoretic Tour of Dimension Four by Kyle Hayden, Márton Beke.- Chapter 3. Severi Strata of Plane Curve Singularities by Duco van Straten, László Koltai.- Chapter 4. Lattice Cohomology by András Némethi, Tamás Ágoston.- Chapter 5. A Tour of Monopole Floer Spectra by Matthew Stoffregen.- Chapter 6. Spectra in Khovanov and knot Floer theories by Sucharit Sarkar, Marco Marengon, András Stipsicz.