Floer homotopy
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 …
Floer homotopy
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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 … 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.
WebChromatic homotopy theory provides an effective way to understand stable homotopy groups of spheres. More recently, geometric topologists also arise interest in it because … 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 …
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. 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 …
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.
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 … cancer of unknown primary refhelpWebApr 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. fishing tournament postersWebIn [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 … fishing tournament score sheetWebAug 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. fishing tournaments appsWebJan 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... cancer of uterine lininghttp://library.msri.org/bib/2024/bib-fht.pdf cancer of urethra rareWebThis 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 ... cancer of urethra in women