CORDIS Project
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This project investigates the relationship between the fundamental group of three-dimensional shapes and Heegaard Floer theory, a mathematical tool for studying these shapes. It aims to address a significant open problem in low-dimensional topology, utilizing techniques from various mathematical fields to enhance under…
Low-dimensional topology is a central and exciting area of 21st century research mathematics that has enjoyed a period of intense activity in recent years.
On the one hand, steady progress in understanding the deep connections between group theory and three-manifold topology has led to the resolution of long-standing conjectures; on the other, the introduction of modern homological invariants (e.g.
Heegaard Floer homology, Khovanov homology) have contributed new insight and perspective on old pr…
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