ar X iv : 0 70 5 . 40 84 v 1 [ q - bi o . M N ] 2 8 M ay 2 00 7 Comment on “ Regularizing capacity of metabolic networks ”

ar X iv : 0 70 5 . 31 41 v 1 [ as tr o - ph ] 2 2 M ay 2 00 7 The SARG Planet Search

ar X iv : 0 70 5 . 32 58 v 1 [ as tr o - ph ] 2 2 M ay 2 00 7 Disks around Young Binary Stars

ar X iv : 0 70 5 . 07 12 v 1 [ m at h - ph ] 4 M ay 2 00 7 REFLECTION POSITIVITY AND MONOTONICITY

We prove the most general reflection positivity results for both scalar fields and Dirac fields on a Riemannian manifold, and comment on applications to quantum field theory. As another application, we prove the inequality C D ≤ C N between Dirichlet and Neumann covariance operators on a manifold with a reflection.

ar X iv : 0 70 5 . 12 53 v 1 [ m at h . A C ] 9 M ay 2 00 7 DUALITIES AND INTERSECTION MULTIPLICITIES

Let R be a commutative, noetherian, local ring. Topological Q– vector spaces modelled on full subcategories of the derived category of R are constructed in order to study intersection multiplicities.

ar X iv : 0 70 5 . 24 04 v 1 [ m at h . C O ] 1 6 M ay 2 00 7 Misère Quotients for

This appendix contains detailed solutions to many of the games discussed in Appendix A. Figure 1 summarizes the status of every octal game with at most three code digits. For each game Γ, the chart indicates whether Γ is tame or wild, and whether its normaland/or misère-play solution is known. Figures 2 and 4 present complete solutions to wild twoand three-digit octal games with relatively simp...