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Akbulut's corks and h-cobordisms of smooth, simply connected 4-manifolds
A survey of symplectic 4-manifolds with b+ = 1。
A survey of symplectic 4-manifolds with b+ = 1。
Contact structures and foliations on 3-manifolds
Suppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeomorphic (relative to...
On irreducible simply-connected 4-manifolds
On symplectic fillings of 3-manifolds
Simply connected symplectic 4-manifolds with positive signature。
We study the moduli space MG (A) of flat G-bundles on an Abelian surface A, where G is a compact, simple, simply connected, connected Lie group. Equivalently, MG (A) is the (coarse) moduli space of s-...
In the following we show that a Stein filling S of the 3-torus T3 is homeomorphic to D2 \times T2. In the proof we also show that if S is Stein and \partial S is diffeomorphic to the Seifert fibered 3...
We explain how a version of Floer homology can be used as an invariant of symplectic manifolds with b1>0. As a concrete example, we look at four-manifolds produced from braids by a surgery constructio...
We discuss some consequences Fintushel-Stern `knot surgery' operation coming from its handlebody description. We give some generalizations of this operation and give a counterexample to their conjectu...
We study the maximal value of the Euler characteristic of the pages of all open book decompositions of closed orientable 3-manifolds. In particular, we describe some examples where the minimal genus H...
We argue that G2 manifolds for M-theory admitting string theory Calabi-Yau duals are fibered by coassociative submanifolds. Dual theories are constructed using the moduli space of M-five-brane fibers ...

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