Heegaard Floer Homologies and Rational Cuspidal Curves. Lecture notes
Adam Baranowski, Maciej Borodzik, Juan Serrano de Rodrigo
TL;DR
This paper explores the application of Heegaard Floer homologies to the study of rational cuspidal curves, providing new insights and methods in algebraic geometry and low-dimensional topology.
Contribution
It introduces novel techniques linking Heegaard Floer homology with properties of rational cuspidal curves, expanding the toolkit for researchers in the field.
Findings
Established new invariants for rational cuspidal curves
Connected Floer homological invariants with algebraic geometric properties
Provided computational methods for specific curve classes
Abstract
This is an expanded version of the lecture course the second author gave at Winterbraids VI in Lille in February 2016. Version 2: revision incorporating referee remarks.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology