WebThe aim of this paper is to give an introduction to Heegaard Floer homology [24] for closed oriented 3-manifolds. We will also discuss a related Floer homology invariant for knots in S3, [31], [34]. Let Y be an oriented closed 3-manifold. The simplest version of Heegaard Floer homology associates to Y a nitely generated Abelian WebJul 1, 2024 · Atiyah-Floer conjecture A conjecture relating the instanton Floer homology of suitable three-dimensional manifolds with the symplectic Floer homology of moduli spaces of flat connections over surfaces, and hence with the quantum cohomology of such moduli spaces. It was originally stated by M.F. Atiyah for homology $3$-spheres in [a1].
Topics in Floer theory: Spring 2011 - University of Texas at Austin
WebMay 15, 1991 · Andreas Floer studied at the Ruhr University in Bochum, a new university founded in 1965. He received the degree Diplom-Mathematiker in 1982 after studying with R Stöcker and E Zehnder. His main interests were in algebraic topology and, in the … WebJan 16, 2024 · Intro to Heegard Floer homology pt.2: This week we continue with some example computations of Heegard Floer homology. We will also define and discuss the … increase border thickness power bi
Applications and Computations of Floer Homology Learning …
WebMay 18, 2024 · Andreas Floer ( 23 August 1956 – 15 May 1991) was a German mathematician who made seminal contributions to the areas of geometry, topology, and mathematical physics, in particular the invention of Floer homology. Life He was an undergraduate student at the Ruhr-Universität Bochum and received a Diplom in … WebA Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture About this Title Francesco Lin, Department of Mathematics, Massachusetts Institute of Technology Publication: Memoirs of the American Mathematical Society Publication Year: 2024 ; Volume 255, Number 1221 ISBNs: 978-1-4704-2963-8 (print); 978-1-4704-4819-6 … WebDec 9, 2024 · Floer’s theory quickly became one of the central tools in symplectic geometry. Yet even as mathematicians used Floer’s ideas, they imagined it should be possible to … increase brightness of face in video