Floer homotopy

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August undefined, 2024

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

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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 … 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. chip wright wrestling

Floer’s infinite dimensional Morse theory and 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 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, … 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. graphic design archive

Floer Homotopy of Lagrangian Submanifolds

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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 … 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 ... graphic design apps free for windowsWebFeb 9, 2024 · Floer homotopy: theory and practice. Morse theory, along with its intimidating infinite dimensional cousin discovered by Floer, has played a … graphic design apps for microsoft

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

Floer homotopy

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

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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... WebIn [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 …

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. 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 ...

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 … WebFloer theory of based discsClassical Floer homotopyCurved A1 ring spectra Formulation of Floer homotopy Conjecture Assume that !: ˇ 2(X) !R vanishes (symplectically …

WebJul 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 …

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. graphic design apps free gimpWebJan 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) … graphic design apps for macOne 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… graphic design apps kindle fireWebWhat is Floer homotopy? Monday, October 3, 2024 11:41 AM. Created Date: 10/3/2024 11:04:55 PM chip wry morseWebJun 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. chipwriterWeb(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 … chip wringer for saleWebJan 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... graphic design apps windows