554 NOTICES OF THE AMS VOLUME 53, NUMBER 5 R aoul Bott passed away on December 20, 2005. In a career spanning five decades, he has wrought profound changes on the landscape of geometry and topology. It is a daunting task to improve upon his own reminiscences [B3], [B4], [B1] and commentaries on papers [B5], punctuated as they are by insight, colorful turns of phrases, and amusing anecdotes. Thi...

We use Chern–Weil theory for Hermitian holomorphic vector bundles with canonical connections for explicit computation of the Chern forms of trivial bundles with special non-diagonal Hermitian metrics. We prove that every ∂̄∂-exact real form of the type (k, k) on an n-dimensional complexmanifold X arises as a difference of the Chern character forms of trivial Hermitian vector bundles with canonic...

La pemphigoïde gravidique est une dermatose apparaissant en general au cours du deuxième ou troisième trimestre de la grossesse, exceptionnellement post partum. Leruption cutanee prurigineuse, bulleuse vesiculopapuleuse et siegeant preferentiellement niveau region thoraco-abdominale des extremites. Son diagnostic repose sur biopsie avec analyse immunofluorescence directe. Le traitement habit...

Many bucephalid species, mainly of the subfamily Prosorhynchinae, have been described from epinepheline serranids (groupers) throughout the World's Oceans. In this paper eight named prosorhynchine species are described and/or illustrated from epinepheline fishes from New Caledonia. Neidhartia lochepintade n. sp. in Epinephelus chlorostigma differs from other Neidhartia spp. in various combinati...

Junbo Zhang,1,† Tianrui Li,1,∗ Da Ruan,2,3,‡ Dun Liu4,§ School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, People’s Republic of China Belgian Nuclear Research Centre (SCK•CEN), Boeretang 200, 2400 Mol, Belgium Department of Applied Mathematics & Computer Science, Ghent University, 9000 Gent, Belgium School of Economics and Management, Southwest Jiaotong...

Using different forms of the arithmetic Riemann-Roch theorem and the computations of Bott-Chern secondary classes, we compute the analytic torsion and the height of Hirzebruch surfaces. 1

3 Morse-Bott theory 30 3.1 Framed moduli space . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.2 Gradient flow lines . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.3 Relative Morse Index . . . . . . . . . . . . . . . . . . . . . . . . . 35 3.4 Decay estimate . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3.5 Transversality of M(Oa, Ob) . . . . . . . . . . . . . . . ...