Floer homotopy

Author: rvot

August undefined, 2024

WebDec 9, 2024 · Floer homology mirrors the ground-floor theory of homology. But symplectic geometers have long wondered if it’s possible to develop Floer versions of topological theories higher up on the tower: theories that connect the generalized homology with specific features of a space in an infinite-dimensional setting, just as Floer’s original … WebApr 25, 2024 · Abstract: I will introduce the notion of a flow bimodule, and explain. how they give rise to maps between bordism groups of flow categories, which are independent of the bordism type of the bimodule. Then I will. explain the notion of composition of flow bimodules. This leads to a. proof of the invariance of Floer bordism groups under the usual.

Floer homology of families I

WebJun 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. familysearch rootsmagic

[math/0702852] The Floer homotopy type of the cotangent bundle

WebFloer theory of based discsClassical Floer homotopyCurved A1 ring spectra Formulation of Floer homotopy Conjecture Assume that !: ˇ 2(X) !R vanishes (symplectically … 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 … WebChromatic homotopy theory provides an effective way to understand stable homotopy groups of spheres. More recently, geometric topologists also arise interest in it because … familysearch rootstech

Floer’s infinite dimensional Morse theory and homotopy theory

Floer homology - Wikipedia

WebAn Introduction to Symplectic Geometry for Lagrangian Floer Homology. Expository master’s thesis (2024) written as part of my Ph.D. qualifying exam, supervised by Prof. Jonathan Block. This thesis introduces symplectic geometry with an eye towards developing Floer homology for Lagrangian intersections. WebJan 1, 2009 · In this paper we describe and continue the study begun in Cohen et al. (Progress in Mathematics, vol. 133, Birkhauser, Boston, 1995, pp. 287–325) of the homotopy theory that underlies Floer theory. In that paper the authors addressed the question of realizing a... cool live wallpapers that react to musicWebThis 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 concerning what exactly the Floer homology groups compute; (B) to explain what kind of an object we think the «Floer homotopy type» of an infinite dimensional manifold ... cool little things to draw

"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. " - Floer homotopy

Floer homotopy

WebNov 18, 2024 · He described major recent progress in Floer homotopy theory and some unexpected applications to symplectic topology and algebraic geometry, e.g., the proof of a characteristic p version of Arnold’s conjecture. He also discussed the interaction of these new concepts with homological mirror symmetry and described new powerful results with ... One conceivable way to construct a Floer homology theory of some object would be to construct a related spectrum whose ordinary homology is the desired Floer homology. Applying other homology theories to such a spectrum could yield other interesting invariants. This strategy was proposed by Ralph Cohen, John Jones, and Graeme Segal, and carried out in certain cases for Seiberg–Witten–Floer homology by Manolescu (2003) and for the symplectic Floer homology o…

Did you know?

WebFeb 3, 2024 · Floer homotopy: theory and practice February 3, 2024 - 04:00 Mohammed Abouzaid, Stanford University McDonnell Hall A02 Register for the Zoom link Morse theory, along with its intimidating infinite dimensional cousin discovered by Floer, has played a fundamental role in developments across topology in the last 50 years. WebFloer Homotopy learning seminar, Spring 2024 Seminar on Floer Homotopy Theory This is the webpage of the student learning seminar on Floer Homotopy Theory. The current version of the website design is stolen from the 2024 Seiberg-Witten Seminar. The seminar is usually held on 4:30-6pm in room 507.

WebFLOER HOMOTOPY THEORY MSRI / SLMath program August 22 to December 21, 2024 [1] C. Abbas, An introduction to compactness results in symplectic eld theory, Springer, Heidelberg, 2014, ISBN 978-3- ... Floer homology groups in Yang{Mills theory, Cambridge Tracts in Mathematics 147, Cambridge University Press, 2002, ISBN 0-521-80803-0. MR … WebEntdecke Spektrale Invarianten mit Bulk, Quasi-Morphismen und Lagrange-Floor-Theorie, P... in großer Auswahl Vergleichen Angebote und Preise Online kaufen bei eBay Kostenlose Lieferung für viele Artikel!

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 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

WebFloer homologies are ways of assembling moduli spaces of solutions to certain PDE’s into computable homology-like invariants of certain geometric situations. The …

WebFLOER HOMOTOPY THEORY Connections Workshop MSRI / SLMath September 8 to 9, 2024 Books [1] D. Barnes and C. Roitzheim, Foundations of stable homotopy theory, … cool live wallpapers youtubeWebIn principle, Floer theory can be extended to deﬁne homotopy in-variants of families of equivalent objects (e.g. Hamiltonian isotopic sym-plectomorphisms, 3-manifolds, … cool live future vibe backgroundsWebJan 20, 2024 · Friday, January 20, 2024 3:00 PM. Ciprian Bonciocat. We will discuss how to exploit the higher-dimensional moduli spaces coming from Morse/Floer theory in order to … cool live computer backgroundsWebIn [6], Cohen, Jones, and Segal posed the question of constructing a \Floer homotopy type." They conjectured that Floer homology (in either of the two variants known at the … cool live wallpapers 4k for pcWebAug 31, 2024 · 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 conjecture that the homotopy type of the spectrum is an invariant of K. Our construction does not use holomorphic geometry, but rather builds on the combinatorial definition of grid homology. familysearch rootstech 2022Web44.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 ... familysearch rootstech 2023WebAug 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 … cool living 12000 btu window air conditioner