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) … 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 ...
Séminaire de Mathématiques Supérieures 2024: Floer Homotopy …
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 ... WebDescription. 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 … tracepay uk 3 login
[2108.13566] A knot Floer stable homotopy type - arXiv
WebFloer theory of based discsClassical Floer homotopyCurved A1 ring spectra Formulation of Floer homotopy Conjecture Assume that !: ˇ 2(X) !R vanishes (symplectically … 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, … 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 … trace patterns worksheets