The cohomology of line bundles of splice-quotient singularities
TLDR
For splice-quotient singularities, the authors showed that the equivariant, divisorial multi-variable Hilbert-Poincare series is topological and provided a combinatorial description of divisors of analytic function-germs.About:
This article is published in Advances in Mathematics.The article was published on 2012-03-01 and is currently open access. It has received 52 citations till now. The article focuses on the topics: Equivariant map & Cohomology.read more
Citations
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The Seiberg-Witten invariants of negative definite plumbed 3-manifolds
TL;DR: In this paper, the Seiberg-Witten invariant of a graph 0 is analyzed as the normalized Euler characteristic of the lattice cohomology associated with 0.
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Lattice and Heegaard Floer Homologies of Algebraic Links
TL;DR: Gandky and Nemethi as discussed by the authors studied the Heegaard Floer link homology of algebraic links in terms of the multi-variate Hilbert function of the corresponding plane curve singularities, and identified four homologies: the local embedded link, lattice homology associated with the Hilbert function, the homologies of the projectivized complements of local hyperplane arrangements cut out from the local algebra, and a generalized version of the Orlik-Solomon algebra of these local arrangements.
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Reduction Theorem for Lattice Cohomology
Tamás László,András Némethi +1 more
TL;DR: In this paper, the authors reduce the rank of a plumbed 3-manifold with a connected negative definite plumbing graph to the number of bad vertices of the graph.
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Ehrhart theory of polytopes and Seiberg–Witten invariants of plumbed 3–manifolds
Tamás László,András Némethi +1 more
TL;DR: In this paper, a rational homology sphere plumbed 3-manifold associated with a connected negative-definite plumbing graph was constructed and its Seiberg-Witten invariants equal certain coefficients of an equivariant multivariable Ehrhart polynomial.
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Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds
András Némethi,Tamás László +1 more
TL;DR: In this paper, a rational homology sphere plumbed 3-manifold associated with a connected negative definite plumbing graph is considered and its Seiberg-Witten invariants equal certain coefficients of an equivariant multivariable Ehrhart polynomial.
References
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Book
Compact Complex Surfaces
TL;DR: In this article, the authors describe the topology and algebraic properties of complex surfaces, including the following properties: 1. The Projective Plane, 2. The Jacobian Fibration, 3. Hodge Theory on Surfaces, 4. Inequahties for Hodge Numbers, 5. Holomorphic Vector Bundles, Serre Duality and Riemann-Roch Theorem.
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Poincaré series of a rational surface singularity
TL;DR: In this article, the Poincare series of a (natural) multi-index filtration on the ring of germs of functions on a rational surface singularity is computed.
Related Papers (5)
Poincaré series of a rational surface singularity
Complete intersection singularities of splice type as universal abelian covers
Walter D. Neumann,Jonathan Wahl +1 more