The Conley index, gauge theory, and triangulations

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• 作者：Ciprian Manolescu (1)
  
• 关键词：Primary 57R58 ; Secondary 37B30 ; 57Q15 ; 57M27 ; Conley index ; Seiberg–Witten equations ; Floer homology ; triangulation
• 刊名：Journal of Fixed Point Theory and Applications
• 出版年：2013
• 出版时间：June 2013
• 年：2013
• 卷：13
• 期：2
• 页码：431-457
• 全文大小：
• 作者单位：Ciprian Manolescu (1)
  
  1. Department of Mathematics, UCLA, 520 Portola Plaza, Los Angeles, CA, 90095, USA
  
• ISSN：1661-7746

文摘

This is an expository paper about Seiberg–Witten Floer stable homotopy types.We outline their construction, which is based on the Conley index and finite-dimensional approximation. We then describe several applications, including the disproof of the high-dimensional triangulation conjecture.