Floer homotopy

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August undefined, 2024

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 … 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 …

Floer homotopy theory (continued) Mathematics

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 … 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. raymond family foundation

Floer’s infinite dimensional Morse theory and homotopy theory

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 … http://library.msri.org/bib/2024/bib-fht.pdf http://library.msri.org/bib/2024/bib-fhtcnx.pdf raymond family

Floer homology - Wikipedia

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 ... WebWhat is Floer homotopy? Monday, October 3, 2024 11:41 AM. Created Date: 10/3/2024 11:04:55 PM raymond fancettWebFloer 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 … raymond family community center williston nd

"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 ... " - Floer homotopy

Floer homotopy

Floer’s infinite dimensional Morse theory and homotopy theory

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, … 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.

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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) …

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

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 … 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 …

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

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... simplicity throw pillow patternsWeb(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 … simplicity tiller attachment for salehttp://math.columbia.edu/~skr/floer_homotopy_seminar.html raymond family farm eventsWebJan 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... simplicity tiller for saleWebAug 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 … raymond family lawWebAug 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. raymond fancherWebDescription. 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 … simplicity tire chains