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We present certain new properties about the intersection numbers on moduli spaces of curves $\overline{\sM}_{g,n}$, including a simple explicit formula of $n$-point functions and several new identitie...
The question of how to stabilize all of the modulus fields coming from compactifications of string theory on internal manifolds is one of the outstanding challenges for string cosmology. Here, in the ...
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are re...
The study of moduli space and Teichm¨uller space has a long history. These two spaces lie in the intersections of the researches in many areas of mathematics and physics. Many deep results have been o...
In this paper we continue our study on the canonical metrics on the Teichm\"uller and the moduli space of Riemman surfaces. We first prove the equivalence of the Bergman metric and the Carath\'eodory ...
One of the main purpose of this paper is to compare those well-known canonical and complete metrics on the Teichm¨uller and the moduli spaces of Riemann surfaces. We use as bridge two new metrics, the...
In this paper we study the moduli spaces related to CY manifolds. We apply the results of this paper to the following problem. Let C be a fixed Riemann surface with fixed finite points on it. Fix the ...
We describe birational models and decide the rationality/unirationality of moduli spaces AA_{d} (and AA^{lev}_{d}) of (1,d)-polarized abelian surfaces (with canonical level structure, respectively) f...
We study the quantum volume of D-branes wrapped around various cycles in Calabi-Yau manifolds, as the manifold's moduli are varied. In particular, we focus on the behaviour of these D-branes near phas...
It is well known that formal solutions to the Associativity Equations are the same as cyclic algebras over the homology operad $(H_*(\bar{M}_{0,n+1}))$ of the moduli spaces of $n$--pointed stable cur...
Theequationsofstateof A2/a titanitephasesofCaTiSiO ,Ca(Ti Si )SiO ,andCaSi O5 0.5 0.5 5 2 5 havebeendeterminedfromhigh-pressureX-raydiffractionmeasurements.Theisothermal bulkmoduliare K 131.4(7)GPa(...
In this paper we introduce and exaamine some properties of three sequence spaces defined by using a sequence of moduli.

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