2024 Floer homotopy

Floer homotopy

Author: aiml

August undefined, 2024

WebAug 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 … 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.

Floer homotopy types Mathematics

WebJan 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 … WebChromatic homotopy theory provides an effective way to understand stable homotopy groups of spheres. More recently, geometric topologists also arise interest in it because … easiest classes to take at fsu

Floer Homotopy learning seminar, Spring 2024 - Columbia …

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 … WebSeminar 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 … easiest cleaning humidifier

Floer homotopy theory (continued) Mathematics

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. 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. easiest class to play in wow 2022WebThis 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 ... easiest class to play wow shadowlands

"http://library.msri.org/bib/2024/bib-fht.pdf " - Floer homotopy

Floer homotopy

Seiberg–Witten–Floer stable homotopy type of three …

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 … 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 …

Did you know?

WebAug 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. WebRabinowitz 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...

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! 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 ...

WebThe stable homotopy type SWF((2 ;3;11)) is that of the unreduced suspension of Pin(2), with one of the cone points as the basepoint, and with the induced Pin(2)-action. 3.5. Properties. Let us now describe a few properties of Seiberg-Witten Floer homologies and stable homotopy types. We will omit the Spincstructures from notation for simplicity ... WebFeb 27, 2007 · The Floer homotopy type of the cotangent bundle. Let M be a closed, oriented, n-dimensional manifold. In this paper we describe a spectrum in the sense of homotopy theory, Z (T^*M), whose homology is naturally isomorphic to the Floer homology of the cotangent bundle, T^*M. This Floer homology is taken with respect to a …

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...

WebWhat is Floer homotopy? Monday, October 3, 2024 11:41 AM. Created Date: 10/3/2024 11:04:55 PM easiest clean deep fryerWebDec 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 … easiest cleaning toiletWebAn 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. easiest clep exams to takeWebIn principle, Floer theory can be extended to deﬁne homotopy in-variants of families of equivalent objects (e.g. Hamiltonian isotopic sym-plectomorphisms, 3-manifolds, … easiest clep tests redditWebFeb 9, 2024 · Floer homotopy: theory and practice. Morse theory, along with its intimidating infinite dimensional cousin discovered by Floer, has played a … ctv morning live atlantic staffWebThis 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 … ctv morning contestWeb(Manolescu-Sarkar) A knot Floer stable homotopy type. ArXiv Given a grid diagram for a knot or link K in S3, we construct a spectrum whose homology is the knot Floer homology of K. We conjecture that the homotopy type … ctv morning live bc