A one-dimensional embedding complex
| Autor: | Kevin P. Scannell, Dev Sinha |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Pure mathematics
Homotopy group Algebra and Number Theory Homotopy category Homotopy 010102 general mathematics Eilenberg–MacLane space Fibration Geometric Topology (math.GT) 01 natural sciences Regular homotopy 57R40 Algebra Mathematics - Geometric Topology n-connected Homotopy sphere Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Quantum Algebra (math.QA) Mathematics - Algebraic Topology 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | Journal of Pure and Applied Algebra. 170(1):93-107 |
| ISSN: | 0022-4049 |
| DOI: | 10.1016/s0022-4049(01)00078-0 |
| Popis: | We give the first explicit computations of rational homotopy groups of spaces of "long knots" in Euclidean spaces. We define a spectral sequence which converges to these rational homotopy groups whose E^1 term is defined in terms of braid Lie algebras. For odd k we establish a vanishing line for this spectral sequence, show the Euler characteristic of the rows of this E^1 term is zero, and make calculations of E^2 in a finite range. 11 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect