A symplectic manifold homeomorphic but not diffeomorphic to \(C\mathbb P^2 \# 3\overline{C\mathbb P}^2\)

DOI10.2140/gt.2008.12.919zbMath1152.57026arXivmath/0702211OpenAlexW2061572530MaRDI QIDQ2426850

Scott Baldridge, Paul A. Kirk

Publication date: 14 May 2008

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702211

zbMATH Keywords

fundamental groupsymplectic topologyLuttinger surgeryminimal symplectic 4-manifold

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Fundamental group, presentations, free differential calculus (57M05) Connected and locally connected spaces (general aspects) (54D05)

Related Items

The Akhmedov-Park exotic \(\mathbb{CP}^2\# 3\overline{\mathbb{CP}}^2\) ⋮ Small genus-$4$ Lefschetz fibrations on simply-connected $4$-manifolds ⋮ Constructing infinitely many smooth structures on small 4-manifolds ⋮ Generalized Luttinger surgery and other cut-and-paste constructions in generalized complex geometry ⋮ Constructions of generalized complex structures in dimension four ⋮ On the number of type change loci of a generalized complex structure ⋮ Exotic smooth structures on small 4-manifolds ⋮ Reverse engineering small 4-manifolds ⋮ Small Lefschetz fibrations and exotic 4-manifolds ⋮ GEOGRAPHY AND BOTANY OF IRREDUCIBLE NON-SPIN SYMPLECTIC 4-MANIFOLDS WITH ABELIAN FUNDAMENTAL GROUP ⋮ Pinwheels and nullhomologous surgery on 4-manifolds with \(b^+=1\) ⋮ Genus-3 Lefschetz fibrations and exotic 4-manifolds with \(b_2^+=3\) ⋮ Exotic smooth structures on small 4-manifolds with odd signatures

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