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Instanton Floer Homology and Heegaard Diagrams

IMSA via YouTube

Overview

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Explore the intersection of instanton Floer homology and Heegaard diagrams in this conference talk delivered by Zhenkun Li from Stanford University. Delve into the powerful invariants for three-manifolds and knots introduced by Floer in the 1980s, and discover how they have led to significant breakthroughs, including the approval of the Property P conjecture. Learn about the combinatorial methods of Heegaard diagrams for describing 3-manifolds and understand the previously unexplored explicit relations between these two mathematical objects. Gain insights into extracting information about the instanton Floer homology of a 3-manifold Y from its Heegaard diagrams, and explore potential applications and future directions of this research. This talk, based on joint work with Baldwin and Ye, offers a deep dive into cutting-edge developments in gauge theory and low-dimensional topology.

Syllabus

Zhenkun Li, Stanford University: Instanton Floer homology and Heegaard diagrams

Taught by

IMSA

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