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104
A holomorphic Casson invariant for CalabiYau 3folds, and bundles on K3 fibrations
 J. DIFFERENTIAL GEOM
, 2000
"... We briefly review the formal picture in which a CalabiYau nfold is the complex analogue of an oriented real nmanifold, and a Fano with a fixed smooth anticanonical divisor is the analogue of a manifold with boundary, motivating a holomorphic Casson invariant counting bundles on a CalabiYau 3fol ..."
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Cited by 199 (8 self)
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for some ranks and Chern classes, and equate it to GromovWitten invariants of the “Mukaidual” 3fold for others. As an example the invariant is shown to distinguish Gross’ diffeomorphic 3folds. Finally the Mukaidual 3fold is shown to be CalabiYau and its cohomology is related to that of X.
THE KODAIRA DIMENSION OF DIFFEOMORPHIC KÄHLER 3FOLDS
, 2004
"... We provide infinitely many examples of pairs of diffeomorphic, non simply connected Kähler manifolds of complex dimension three with different Kodaira dimensions. Also, in any possible Kodaira dimension we find infinitely many pairs of non deformation equivalent, diffeomorphic Kähler threefolds. ..."
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Cited by 2 (0 self)
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We provide infinitely many examples of pairs of diffeomorphic, non simply connected Kähler manifolds of complex dimension three with different Kodaira dimensions. Also, in any possible Kodaira dimension we find infinitely many pairs of non deformation equivalent, diffeomorphic Kähler threefolds.
G2manifolds and associative submanifolds via semiFano 3folds
, 1207
"... Abstract. We provide a significant extension of the twisted connected sum construction of G2–manifolds, ie Riemannian 7manifolds with holonomy group G2, first developed by Kovalev; along the way we address some foundational questions at the heart of the twisted connected sum construction. Our exten ..."
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Cited by 9 (3 self)
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manifolds by applying the twisted connected sum to asymptotically CalabiYau 3folds of semiFano type studied in [18]. (iv) We obtain much more precise topological information about twisted connected sum G2manifolds; one application is the determination for the first time of the diffeomorphism type
Stimulation of Gross Chromosomal Rearrangements by the Human CEB1 and CEB25 Minisatellites in Saccharomyces cerevisiae Depends on GQuadruplexes
, 2012
"... Genomes contain tandem repeats that are at risk of internal rearrangements and a threat to genome integrity. Here, we investigated the behavior of the human subtelomeric minisatellites HRAS1, CEB1, and CEB25 in Saccharomyces cerevisiae. In mitotically growing wildtype cells, these GC–rich tandem ar ..."
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arrays stimulate the rate of gross chromosomal rearrangements (GCR) by 20, 1,620, and 276,000fold, respectively. In the absence of the Pif1 helicase, known to inhibit GCR by telomere addition and to unwind Gquadruplexes, the GCR rate is further increased in the presence of CEB1, by 385fold compared
SURGERY DESCRIPTION OF ORIENTATIONPRESERVING D2pACTION ON COMPACT ORIENTABLE 3MANIFOLDS
, 2005
"... Abstract. In analogy with Przytycki’s and Sokolov’s “surgery description ” of orientationpreserving periodic diffeomorphisms of closed orientable 3manifolds [11] (see also [13]), we show that there is a “surgery description ” for orientationpreserving D2pperiodic diffeomorphisms of 3manifolds wh ..."
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Abstract. In analogy with Przytycki’s and Sokolov’s “surgery description ” of orientationpreserving periodic diffeomorphisms of closed orientable 3manifolds [11] (see also [13]), we show that there is a “surgery description ” for orientationpreserving D2pperiodic diffeomorphisms of 3manifolds
Lagrangian 3torus fibrations
, 2006
"... We give a method to construct singular Lagrangian 3torus fibrations over certain a priori given integral affine manifolds with singularities, which we call simple. The main result of this article is the proof that M. Gross ’ topological CalabiYau compactifications [7] can be made into symplectic c ..."
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Cited by 14 (2 self)
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We give a method to construct singular Lagrangian 3torus fibrations over certain a priori given integral affine manifolds with singularities, which we call simple. The main result of this article is the proof that M. Gross ’ topological CalabiYau compactifications [7] can be made into symplectic
References
"... The talk will describe recent work on the topology of fold maps. A fold map is a generic smooth map f from a surface M into the plane whose only critical points are of fold type (in general, generic maps will also possess (isolated) cusp points). Composing f with diffeomorphisms of both M and the pl ..."
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The talk will describe recent work on the topology of fold maps. A fold map is a generic smooth map f from a surface M into the plane whose only critical points are of fold type (in general, generic maps will also possess (isolated) cusp points). Composing f with diffeomorphisms of both M
Central Lvalues and toric periods for GL(2).
 Int. Math. Res. Not. IMRN
, 2009
"... Abstract. Let π be a cusp form on GL(2) over a number field F and let E be a quadratic extension of F . Denote by π E the base change of π to E and by Ω a unitary character of A × E /E × . We use the relative trace formula to give an explicit formula for L(1/2, π E ⊗ Ω) in terms of period integrals ..."
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Cited by 8 (2 self)
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integrals of GrossPrasad test vectors. We give an application of this formula to equidistribution of geodesics on a hyperbolic 3fold.
Growthkinetics of the omnivorous oligotrich ciliate Strombidium sp
 Limnol. Oceanogr
, 1991
"... The marine ciliate Strombidium sp. can bc raised through multiple generations on a monoxenic diet of the bacterium Vibrio natriegens, but Strombidium specific growth rates and yields are 34 times higher when a heterotrophic microllagellate is included as prey. In contrast to earlier studies we foun ..."
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Cited by 13 (0 self)
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found that Strombidium grew inefficiently when feeding as a bacterivore, with gross growth efficiencies (K,) of 1 l20 % (determined on a nitrogen, carbon, and proteinspecific basis). On the same bacterial diet K, of the scuticociliate Uronema sp. was 4970%. Bacterivorous Uronema attained a 9fold
Collapsing threemanifolds under a lower curvature bound
 J. Differential Geom
"... Abstract The purpose of this paper is to completely characterize the topology of threedimensional Riemannian manifolds with a uniform lower bound of sectional curvature which converges to a metric space of lower dimension. Introduction We study the topology of threedimensional Riemannian manifolds ..."
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Cited by 30 (3 self)
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is large enough compared with k. When dim X ≤ n−1 and X may have 'bad' singularities, no solution to Problem 0.1 is known as of now. In this paper we completely solve it in the case when n = 3 and dim X = 1 or 2. Note that if n = 3 and dim X = 0 (i.e., X is a single point), it has already been
Results 1  10
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104