03949nam a22005295i 4500 978-3-031-56611-0 DE-He213 20251030113133.0 cr nn 008mamaa 241009s2024 sz | s |||| 0|eng d 9783031566110 978-3-031-56611-0 10.1007/978-3-031-56611-0 doi QA1-939 PB bicssc MAT000000 bisacsh PB thema Singularities and Low Dimensional Topology [electronic resource] / edited by Javier Fernández de Bobadilla, Marco Marengon, András Némethi, András Stipsicz. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. IX, 223 p. 151 illus., 60 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Bolyai Society Mathematical Studies, 2947-9460 ; 30 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. The special semester 'Singularities and low dimensional topology' in the Spring of 2023 at the Erdős Center (Budapest) brought together algebraic geometers and topologists to discuss and explore the strong connection between surface singularities and topological properties of three- and four-dimensional manifolds. The semester featured a Winter School (with four lecture series) and several focused weeks. This volume contains the notes of the lecture series of the Winter School and some of the lecture notes from the focused weeks. Topics covered in this collection range from algebraic geometry of complex curves, lattice homology of curve and surface singularities to novel results in smooth four-dimensional topology and grid homology, and to Seiberg-Witten homotopy theory and ‘spacification’ of knot invariants. Some of these topics are already well-documented in the literature, and the lectures aim to provide a new perspective and fresh connections. Other topics are rather new and have been covered only in research papers. We hope that this volume will be useful not only for advanced graduate students and early-stage researchers, but also for the more experienced geometers and topologists who want to be informed about the latest developments in the field. Mathematics. 65523 Mathematics. 65523 de Bobadilla, Javier Fernández. editor. edt http://id.loc.gov/vocabulary/relators/edt 85792 Marengon, Marco. editor. edt http://id.loc.gov/vocabulary/relators/edt 85793 Némethi, András. editor. edt http://id.loc.gov/vocabulary/relators/edt 85794 Stipsicz, András. editor. edt http://id.loc.gov/vocabulary/relators/edt 85795 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031566103 Printed edition: 9783031566127 Printed edition: 9783031566134 Bolyai Society Mathematical Studies, 2947-9460 ; 30 84655 https://doi.org/10.1007/978-3-031-56611-0 ZDB-2-SMA ZDB-2-SXMS 64081 64081