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The magnification of sn 1997ff, the farthest known supernova

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TLDR
In this paper, the effects of lensing by those objects on the magnitude of SN 1997ff were investigated, and it was shown that due to the spatial configuration of the foreground galaxies, the shear from individual lenses partially cancels out, and total distortion induced on the host galaxy is considerably smaller than that produced by a single lens having the same magnification.
Abstract
With a redshift of z {approx} 1.7, SN 1997ff is the most distant type Ia supernova discovered so far. This SN is close to several bright, z = 0.6-0.9 galaxies, and we consider the effects of lensing by those objects on the magnitude of SN 1997ff. We estimate their velocity dispersions using the Tully-Fisher and Faber-Jackson relations corrected for evolution effects, and calculate, applying the multiple-plane lensing formalism, that SN 1997ff is magnified by 0.34{+-}0.12 mag. Due to the spatial configuration of the foreground galaxies, the shear from individual lenses partially cancels out,and the total distortion induced on the host galaxy is considerably smaller than that produced by a single lens having the same magnification. After correction for lensing, the revised distance to SN 1997ff is m-M = 45.49 {+-} 0.34 mag, which improves the agreement with the {Omega}{sub M} = 0.35, {Omega}{Lambda} = 0.65 cosmology expected from lower-redshift SNe Ia, and is inconsistent at the {approx} 3 sigma confidence level with a uniform gray dust model or a simple evolution model.

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New Constraints on ΩM, ΩΛ, and w from an Independent Set of 11 High-Redshift Supernovae Observed with the Hubble Space Telescope*

TL;DR: In this paper, a set of high-redshift supernovae were used to confirm previous supernova evidence for an accelerating universe, and the supernova results were combined with independent flat-universe measurements of the mass density from CMB and galaxy redshift distortion data, they provided a measurement of $w=-1.05^{+0.15}-0.09$ if w is assumed to be constant in time.
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Reconstructing dark energy

TL;DR: A review of recent attempts to reconstruct the expansion history of the universe and to probe the nature of dark energy can be found in this article, where the authors classify reconstruction methods into parametric and non-parametric approaches.
References
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Weak Gravitational Lensing

TL;DR: In this article, the authors present the formalism of weak gravitational lensing and light propagation in arbitrary space-times, and discuss how weak-lensing effects can be measured.
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