This note briefly reviews the Mirror Principle as developed in the series of papers [19][20][21][22][23]. We illustrate this theory with a few new examples. One of them gives an intriguing connection to a problem of counting holomorphic disks and annuli. This note has been submitted for the proceedings of the Workshop on Strings, Duality and Geometry the C.R.M. in Montreal of March 2000.

The existence of mirror fermions interacting strongly under a new gauge group and having masses near the electroweak scale has been recently proposed as a viable alternative to the standard-model Higgs mechanism. The main purpose of this work is to investigate which specific experimental signals are needed to clearly differentiate the mirror-fermion model from other new-physics models. In parti...

The literature contains a disconnect between accounts of how humans learn lexical semantic representations for words. Theories generally propose that lexical semantics are learned either through perceptual experience or through exposure to regularities in language. We propose here a model to integrate these two information sources. Specifically, the model uses the global structure of memory to ...

The Mental Rotations Test (Vandenberg & Kuse, 1978) consistently produces large gender differences favoring males (Voyer, Voyer, & Bryden, 1995). This test requires participants to select two of four answer choices that are rotations of a probe stimulus. The incorrect choices (i.e., foils) are either mirror reflections of the probe or structurally different. Two experiments investigated the hyp...

The mirror of a projective toric manifold XΣ is given by a LandauGinzburg model (Y,W). We introduce a class of Lagrangian submanifolds in (Y,W) and show that, under the SYZ mirror transformation, they can be transformed to torus-invariant hermitian metrics on holomorphic line bundles over XΣ. Through this geometric correspondence, we also identify the mirrors of Hermitian-Einstein metrics, whic...

Context. The IUE database provides a large number of UV high and low-resolution spectra of RS CVn-type stars from 1978 to 1996. In particular, many of these stars were monitored continuously during several seasons by IUE. Aims. Our main purpose is to study the short and long-term chromospheric activity of the RS CVn systems most observed by IUE: HD 22468 (V711 Tau, HR 1099, K1IV+G5V), HD 21242 ...

It has been argued that the solar magnetic cycle consists of two main periodic components: a low-frequency component (Hale’s 22-year cycle) and a high-frequency component (quasi-biennial cycle). The existence of the double magnetic cycle on the Sun is confirmed using Stanford, Mount Wilson and Kitt Peak magnetograph data from 1976 to 1996 (solar cycles 21 and 22). In the frame of the Parker’s d...

Borcea-Voisin threefolds are Calabi-Yau manifolds. They are constructed by Borcea ([B]) and Voisin ([V]) in the construction of mirror manifolds. In [SYZ], Strominger, Yau and Zaslow propose a geometric construction of mirror manifolds using special Lagrangian tori (called SYZ-construction below). Using degenerate Calabi-Yau metrics Gross and Wilson show that SYZ-construction works for any Borc...