Open manifolds, Ozsvath-Szabo invariants and Exotic R⁴'s

2004/08/27 by Siddhartha Gadgil, Gadgil, Siddhartha
Computer Science · Mathematics · #53D35 #57M27 #57N10 #57R58 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #semigroups and automata theory

paper · doi:10.48550/arxiv.math/0408379

openalex publication_date 2004/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an invariant of open four-manifolds using the Heegaard Floer theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to R⁴ for which the invariant is non-trivial, showing that X is an exotic R⁴.

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