We study the determinant line bundle over moduli space of stable bundles on abelian surfaces. We evaluate their analytic torsions. We extend Mukai's version of the Parseval Theorem to L 2 metrics on cohomology groups. We prove that the Mukai transform preserves the determinant line bundle as a hermitian line bundle. This is done by induction via the natural boundary of the moduli spaces.

BACKGROUND Central line-associated bloodstream infections (CLABSI) represent a serious patient safety issue. To prevent these infections, bundled interventions are increasingly recommended. We examine the extent of adoption of Central Line (CL) Bundle elements throughout US intensive care units (ICU) and determine their effectiveness in preventing CLABSIs. METHODOLOGY/PRINCIPAL FINDINGS In th...

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the detailed anatomy and histology of the atrioventricular bundle (avb) was studied in 10 adult cats (5 males and 5 females). the trunk of the atrioventricular bundle was a direct continuation of the atrioventricular node (avn) with no sharp line of demarcation between node and the bundle. the avb of the male cats measured 6.24 mm in length, 0.27 mm in width and 0.65 mm in thickness, while in t...

We show that a nef and big line bundle whose adjoint bundle has global sections on a nonsingular complete toric 3-fold with nef anticanonical divisor is normally generated. As a consequence, we see that any ample line bundle on a nonsingular toric Fano 3-fold is normally generated.

In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kähler manifold. We prove a local rigidity theorem. The result is related to the classical Ramadanov conjecture.

We construct the non-compact Calabi-Yau manifolds interpreted as the complex line bundles over the Hermitian symmetric spaces. These manifolds are the various generalizations of the complex line bundle over CP. Imposing an F-term constraint on the line bundle over CP, we obtain the line bundle over the complex quadric surface Q. On the other hand, when we promote the U(1) gauge symmetry in CP t...

The present paper is the first in a series of papers, in which we shall construct modular functors and Topological Quantum Field Theories from the conformal field theory developed in [TUY]. The basic idea is that the covariant constant sections of the sheaf of vacua associated to a simple Lie algebra over Teichmüller space of an oriented pointed surface gives the vector space the modular functo...