Floer homotopy
WebJan 24, 2024 · Floer homotopy theory, revisited. In 1995 the author, Jones, and Segal introduced the notion of "Floer homotopy theory". The proposal was to attach a (stable) … WebA Fleur Homotopy. This will be a hybrid workshop with in-person participation by members of the semester-long program and speakers. Online participation will be open to all who …
Floer homotopy
Did you know?
http://math.columbia.edu/~skr/floer_homotopy_seminar.html WebIn principle, Floer theory can be extended to define homotopy in-variants of families of equivalent objects (e.g. Hamiltonian isotopic sym-plectomorphisms, 3-manifolds, Legendrian knots, etc.) parametrized by a smooth manifold B. The invariant of a family consists of a fil-tered chain homotopy type, which gives rise to a spectral sequence
WebAs a starting point, we will study the paper of Bauer and Furuta that introduces the stable homotopy refinement of the Seiberg-Witten invariant for 4-manifolds; then progress to the work of Manolescu constructing a Seiberg-Witten-Floer homotopy type’’ for 3-manifolds. WebSymplectic Topology and Floer Homology Volume 2 Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in ... Simpson Homotopy Theory of Higher Categories 20. E. Fricain and J. Mashreghi The Theory of H(b) Spaces I
WebFloer theory of based discsClassical Floer homotopyCurved A1 ring spectra Formulation of Floer homotopy Conjecture Assume that !: ˇ 2(X) !R vanishes (symplectically aspherical). 1 The moduli spaces of holomorphic discs determine a curved A 1 deformation of 2(X;L) 2 The corresponding category of operadic modules is an invariant of the pair (X;L) up to … WebSeiberg–Witten–Floer stable homotopy types 891 ikerd∗ ⊕Γ(W 0) ⊂ iΩ1(Y)⊕Γ(W 0),l= ∗d⊕6∂is a linear Fredholm, self-adjoint operator, and cis compact as a map between …
Web44.Periodic Floer pro-spectra from the Seiberg-Witten equations (with P.B. Kronheimer), eprint (2002), arXiv:math/0203243 45.Seiberg-Witten-Floer stable homotopy type of 3-manifolds with b1 = 0, Geometry and Topology 7 (2003), 889–932 Selected Invited Lectures Lecture Series and Mini-courses Aisenstadt Chair lecture series, CRM Montreal ...
WebThis paper is a progress report on our efforts to understand the homotopy theory underlying Floer homology. Its objectives are as follows: (A) to describe some of our ideas … grammy 2023 youtubeWebFloer homologies are ways of assembling moduli spaces of solutions to certain PDE’s into computable homology-like invariants of certain geometric situations. The … china spiral freezer factoryWebRabinowitz Floer homology, string topology and Floer homotopy theory. It brings together a research cluster and a master-doctorate training program, relying on… Posted Offre publiée il y a plus de 30 jours · plus... grammy 2023 watchWebAug 31, 2024 · A knot Floer stable homotopy type. Given a grid diagram for a knot or link K in , we construct a spectrum whose homology is the knot Floer homology of K. We … china spiral cables manufacturersWebJun 7, 2024 · Recently I became intrigued by Floer homotopy, especially after seeing it had been applied to classical questions in symplectic topology. (e.g. Abouzaid and Kragh). This revelation made me excited about the new possibilities that this approach opens up, and I want to try and find other applications. grammy 50 hip hophttp://library.msri.org/bib/2024/bib-fht.pdf china spire mountainsWebDescription. Illustrated by Nathalie Wahl. The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the … The Mathematical Sciences Research Institute (MSRI), founded in 1982, is an … grammy 50th hip hop performance