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Displaying 61 – 69 of 69

The geometric genus of hypersurface singularities

András Némethi, Baldur Sigurdsson (2016)

Journal of the European Mathematical Society

Using the path lattice cohomology we provide a conceptual topological characterization of the geometric genus for certain complex normal surface singularities with rational homology sphere links, which is uniformly valid for all superisolated and Newton non-degenerate hypersurface singularities.

The geometry of the Seiberg-Witten invariants.

Taubes, Clifford Henry (1998)

Documenta Mathematica

The Seiberg-Witten invariants and 4-manifolds with essential tori.

Taubes, Clifford Henry (2001)

Geometry & Topology

The Seiberg–Witten invariants of negative definite plumbed 3-manifolds

András Némethi (2011)

Journal of the European Mathematical Society

Assume that $Γ$ is a connected negative definite plumbing graph, and that the associated plumbed 3-manifold $M$ is a rational homology sphere. We provide two new combinatorial formulae for the Seiberg–Witten invariant of $M$ . The first one is the constant term of a ‘multivariable Hilbert polynomial’, it reflects in a conceptual way the structure of the graph $Γ$ , and emphasizes the subtle parallelism between these topological invariants and the analytic invariants of normal surface singularities. The second...

The Seiberg-Witten invariants of symplectic four-manifolds

Dieter Kotschick (1995/1996)

Séminaire Bourbaki

The symplectic Thom conjecture.

Ozsváth, Peter, Szabó, Zoltán (2000)

Annals of Mathematics. Second Series

Torsion, TQFT, and Seiberg-Witten invariants of 3-manifolds.

Mark, Thomas (2002)

Geometry & Topology

Witten's conjecture and Property P.

Kronheimer, P.B., Mrowka, T.S. (2004)

Geometry & Topology

Witten's Conjecture for many four-manifolds of simple type

Paul M. N. Feehan, Thomas G. Leness (2015)

Journal of the European Mathematical Society

We prove that Witten’s Conjecture [40] on the relationship between the Donaldson and Seiberg-Witten series for a four-manifold of Seiberg-Witten simple type with $b_{1} = 0$ and odd $b_{2}^{+} \geq 3$ follows from our $(3)$ -monopole cobordism formula [6] when the four-manifold has $c_{1}^{2} \geq χ_{h} - 3$ or is abundant.

Currently displaying 61 – 69 of 69

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