U.S.-Norway Cooperative Research: Algebraic K-theory and Pseudo-isotopies

美国-挪威合作研究：代数K理论和伪同位素

• 批准号: 9811590
• 负责人: Slawomir Kwasik
• 金额: $ 0.6万
• 依托单位: Tulane University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-02-01 至 2000-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9811590&HistoricalAwards=false
• 关键词: U.S.; Norway; Cooperative; Research; Algebraic

9811590KwasikThis award is a one-year renewal of an award to Professor Slawomir Kwasik and a graduate student of Tulane University to support collaboration in mathematics research with Professor Bjorn Jahren and others of the Department of Mathematics of the University of Oslo, Norway. The research studies the relationship between algebraic K-theory and pseudo-isotopy of manifolds, and applies new methods employing Waldhausen's A-theory to study various geometric questions concerning the topology of manifolds. The research is strengthened by the experience of Dr. Kwasik in the more geometric aspects of pseudo-isotopy theory but relies primarily on the expertise and new approach developed by Professor Jahren. There is still a great deal of interest in research in the above areas. Significant progress has already been made in the algebraic aspects of these theories, but work is still new on the geometrical side. Indeed the strongest centers pursuing this research are in Northern Europe, and the proposed collaboration with a Norwegian group will provide access to the latest research developments for Dr. Kwasik as he continues to strengthen the research with his Norwegian counterpart. Dr. Kwasik and his collaborator have made strong progress on the original research goals, and will be able to complete those goals with the additional year's funding.

9811590 Kwasik该奖项是对Slawomir Kwasik教授和杜兰大学研究生的一项为期一年的延续，以支持与挪威奥斯陆大学数学系的Bjorn Jahren教授和其他人在数学研究方面的合作。 研究了代数K-理论与流形的伪合痕之间的关系，并应用Waldhausen的A-理论研究了与流形拓扑有关的各种几何问题。 Kwasik博士在伪同位素理论的更多几何方面的经验加强了这项研究，但主要依赖于Jahren教授开发的专业知识和新方法。 对上述领域的研究仍有很大兴趣。 重大进展已经取得了代数方面的这些理论，但工作仍然是新的几何方面。 事实上，从事这项研究的最强大的中心在北方欧洲，与挪威小组的拟议合作将为Kwasik博士提供最新的研究进展，因为他将继续加强与挪威同行的研究。 Kwasik博士和他的合作者在最初的研究目标上取得了巨大进展，并将能够在额外一年的资金支持下完成这些目标。