Floer homotopy

Author: ilfx

August undefined, 2024

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

An overview on chromatic homotopy theory Mathematics

http://math.columbia.edu/~skr/floer_homotopy_seminar.html 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 ... graph of cross elasticity of demand

[2108.13566] A knot Floer stable homotopy type - arXiv

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. WebFLOER HOMOTOPY THEORY Connections Workshop MSRI / SLMath September 8 to 9, 2024 Books [1] D. Barnes and C. Roitzheim, Foundations of stable homotopy theory, … 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 … graph of covid cases in us since march 2020

Simons Collaboration on Homological Mirror Symmetry

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

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 … 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 graph of covid cases scotlandWebNov 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 ... chis horia stefan

"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

Ciprian Manolescu: Curriculum Vitae - Stanford University

WebWhat is Floer homotopy? Monday, October 3, 2024 11:41 AM. Created Date: 10/3/2024 11:04:55 PM 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.

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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 … 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!

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 … http://math.columbia.edu/~skr/floer_homotopy_seminar.html

WebFeb 9, 2024 · Floer homotopy: theory and practice. Morse theory, along with its intimidating infinite dimensional cousin discovered by Floer, has played a … 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 …

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 …

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… graph of covid cases in scWebA 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 … graph of daylight hours ukWebFloer homologies are ways of assembling moduli spaces of solutions to certain PDE’s into computable homology-like invariants of certain geometric situations. The … chishta cave daysha handWebDescription. 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 … graph of daylight hours by dayWebFloer theory of based discsClassical Floer homotopyCurved A1 ring spectra Formulation of Floer homotopy Conjecture Assume that !: ˇ 2(X) !R vanishes (symplectically … chi shortcutWebAn 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. chi show castWebJul 11, 2024 · The idea of stable homotopy refinements of Floer homology was first introduced by Cohen, Jones, and Segal in a 1994 paper, but it was only in the last … chishoukere