M ay 2 00 7 DISK ENUMERATION ON THE QUINTIC 3 - FOLD

2 00 6 Disk Enumeration on the Quintic 3 - Fold

Holomorphic disk invariants with boundary in the real Lagrangian of a quintic 3-fold are calculated by localization and proven mirror transforms. A careful discussion of the underlying virtual intersection theory is included. The generating function for the disk invariants is shown to satisfy an extension of the Picard-Fuchs differential equations associated to the mirror quintic. The Ooguri-Va...

Disk Enumeration on the Quintic 3-fold

ar X iv : m at h / 01 10 25 9 v 4 [ m at h . A G ] 2 M ay 2 00 5 Rank 4 vector bundles on the quintic threefold

By the results of the author and Chiantini in [3], on a general quintic threefold X ⊂ P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p ≤ 4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediat...

Tenth degree number fields with quintic fields having one real place

In this paper, we enumerate all number fields of degree 10 of discriminant smaller than 1011 in absolute value containing a quintic field having one real place. For each one of the 21509 (resp. 18167) found fields of signature (0, 5) (resp. (2, 4)) the field discriminant, the quintic field discriminant, a polynomial defining the relative quadratic extension, the corresponding relative discrimin...

ar X iv : a st ro - p h / 03 05 13 5 v 1 8 M ay 2 00 3 NGC 7538 S - a High - Mass Protostar with a Massive Rotating Disk

We report the detection of a massive rotating disk around the high-mass Class 0 candidate NGC7538 S. The disk is well-resolved with BIMA (θA =3 ′′ . 7) in 3.4 mm continuum and in HCN J=1→0. It is seen nearly edge on and has a size of ∼30,000 AU. A young, powerful outflow perpendicular to the rotating disk is mapped in SiO J=2→1 and HCO J=1→0. The dynamical age of the outflow is ≤ 10,000 yr. The...