Exotic smooth structures on small 4-manifolds with odd signatures
From MaRDI portal
Publication:993381
DOI10.1007/s00222-010-0254-yzbMath1206.57029arXiv1006.0293OpenAlexW3106094400MaRDI QIDQ993381
Publication date: 10 September 2010
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.0293
Symplectic and contact topology in high or arbitrary dimension (57R17) Differentiable structures in differential topology (57R55)
Related Items
The Akhmedov-Park exotic \(\mathbb{CP}^2\# 2\overline{\mathbb{CP}}^2\), Bridge trisections in rational surfaces, On the geography of simply connected nonspin symplectic 4-manifolds with nonnegative signature, Cyclic group actions and embedded spheres in 4-manifolds, Exotic Stein fillings with arbitrary fundamental group, Small genus-$4$ Lefschetz fibrations on simply-connected $4$-manifolds, Cataloguing PL 4-manifolds by gem-complexity, Topology. Abstracts from the workshop held July 24--30, 2022, Complex ball quotients and new symplectic \(4\)-manifolds with nonnegative signatures, Small exotic 4-manifolds and symplectic Calabi-Yau surfaces via genus-3 pencils, Abelian branched covers of rational surfaces, Trace embeddings from zero surgery homeomorphisms, Slope inequalities for the geography problem of nonspin symplectic 4-manifolds, From the icosahedron to natural triangulations of \(\mathbb {C}\mathbb{P}^{2}\) and \(S ^{2}\times S ^{2}\), Constructions of generalized complex structures in dimension four, Genus \(2\) Lefschetz fibrations with \(b^+_2=1\) and \(c_1^2=1,2\), Small exotic 4-manifolds from lines and quadrics in \(\mathbb{C}\mathbb{P}^2\), Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow, Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds, Differentiable classification of 4-manifolds with singular Riemannian foliations, Small Lefschetz fibrations and exotic 4-manifolds, Symplectic Calabi-Yau 6-manifolds, GEOGRAPHY AND BOTANY OF IRREDUCIBLE NON-SPIN SYMPLECTIC 4-MANIFOLDS WITH ABELIAN FUNDAMENTAL GROUP, Random Discrete Morse Theory and a New Library of Triangulations, Pinwheels and nullhomologous surgery on 4-manifolds with \(b^+=1\), Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank, Small exotic rational surfaces without 1- and 3-handles, Genus-3 Lefschetz fibrations and exotic 4-manifolds with \(b_2^+=3\), On entropies, \(\mathcal {F}\)-structures, and scalar curvature of certain involutions, Differential Topology Interacts with Isoparametric Foliations, GEOGRAPHY OF SPIN SYMPLECTIC FOUR-MANIFOLDS WITH ABELIAN FUNDAMENTAL GROUP, New exotic 4-manifolds via Luttinger surgery on Lefschetz fibrations, Branched coverings of CP2 and other basic 4‐manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- The topology of four-dimensional manifolds
- Constructions of small symplectic 4-manifolds using Luttinger surgery
- Simply connected minimal symplectic 4-manifolds with signature less than \(-1\)
- Exotic smooth structures on small 4-manifolds
- Small exotic 4-manifolds
- Homotopy groups of the complements to singular hypersurfaces. II
- Product formulas along \(T^3\) for Seiberg-Witten invariants
- Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves
- Symplectic surfaces in a fixed homology class
- Constructing infinitely many smooth structures on \(3\mathbb{CP}^2 \# n\overline{\mathbb{CP}}^2\)
- The Seiberg-Witten invariants and symplectic forms
- A new construction of symplectic manifolds
- Lagrangian tori in \(\mathbb{R}^ 4\)
- An exotic smooth structure on {\(\mathbb C\mathbb P^ 2\#6\overline{\mathbb C\mathbb P^ 2}\)}
- A symplectic manifold homeomorphic but not diffeomorphic to \(C\mathbb P^2 \# 3\overline{C\mathbb P}^2\)
- Reverse engineering small 4-manifolds
- The braid groups of \(E^ 2\) and \(S^ 2\)
- Minimality and symplectic sums
- Exotic smooth structures on 3CP2♯8CP¯2
- Constructing infinitely many smooth structures on small 4-manifolds
- THE FUNDAMENTAL GROUP OF THE COMPLEMENT OF A HYPERSURFACE IN $ \mathbf C^n$
- Smoothly embedded spheres in symplectic 4-manifolds
- Minimality and irreducibility of symplectic four-manifolds
- Double node neighborhoods and families of simply connected 4-manifolds with 𝑏⁺=1