Floer homotopy

Author: ykha

August undefined, 2024

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 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) …

Floer homotopy types Mathematics

http://library.msri.org/bib/2024/bib-fht.pdf 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… openpyxl load workbook close

Reading Courses Mathematics at the University of Virginia

http://library.msri.org/bib/2024/bib-fhtcnx.pdf 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. 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 … openpyxl linechart 数据标签

[1901.08694] Floer homotopy theory, revisited - arXiv.org

[2108.13566] A knot Floer stable homotopy type - arXiv

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 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 … openpyxl list object has no attribute cellWebThis 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 ... ipad repair sioux city

"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 … " - Floer homotopy

Floer homotopy

Reading Courses Mathematics at the University of Virginia

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 … 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 ...

Did you know?

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. Web(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 …

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

WebFLOER HOMOTOPY THEORY Connections Workshop MSRI / SLMath September 8 to 9, 2024 Books [1] D. Barnes and C. Roitzheim, Foundations of stable homotopy theory, … 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

WebApr 11, 2024 · Abstract: Cohen, Jones, and Segal formalised the structure of the. moduli spaces that appear in Floer theory as a "flow category." I will. define this notion, and then explain how to associated to a flow. category (of oriented manifold) a collection of bordism groups. These. bordism groups will later be revealed to be the homotopy groups of the.

http://math.columbia.edu/~skr/floer_homotopy_seminar.html openpyxl line chartWebFloer homologies are ways of assembling moduli spaces of solutions to certain PDE’s into computable homology-like invariants of certain geometric situations. The … openpyxl.load_workbook filenameWebFeb 9, 2024 · Floer homotopy: theory and practice. Morse theory, along with its intimidating infinite dimensional cousin discovered by Floer, has played a … openpyxl iterate through sheetsWebRabinowitz 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... openpyxl load_workbook badzipfileWebAug 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. openpyxl max row in a columnWebSeiberg–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 … ipad repairs near 19094WebAn 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. openpyxl load_workbook with