Floer homology and low-dimensional topology

Florer同调和低维拓扑

• 批准号: 250349-2007
• 负责人: Collin, Olivier
• 金额: $ 1.46万
• 依托单位: Université du Québec à Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=394771
• 关键词: Floer; homology; low; dimensional; topology

Mathematical knots, visualised as a simple but knotted closed rope, have been studied by scientists since the end of the XIXth century. One of the early motivations was to use these objects as a way to understand properties of atoms and matter. The ties to natural sciences have grown over the years and nowadays, for example, the study of DNA topology is an active, interdisciplinary area of research.

数学结，被形象化为一个简单但打结的封闭绳索，自十九世纪末以来一直被科学家研究。早期的动机之一是使用这些物体作为理解原子和物质性质的一种方式。与自然科学的联系多年来不断增长，如今，例如，DNA拓扑学的研究是一个活跃的跨学科研究领域。