Volume 1, Issue 1

 

ارسال های اخیر

  • Moduli of $J$-holomorphic curves with Lagrangian boundary conditions ‎and open Gromov-Witten invariants for an $S^1$-equivariant pair 

    Liu, C.C. Melissa (Iranian Mathematical Society, 2020-03-01)
    Let $(X,omega)$ be a symplectic manifold‎, ‎$J$ be an $omega$-tame‎ ‎almost complex structure‎, ‎and $L$ be a Lagrangian submanifold‎. ‎The stable compactification of the moduli space of parametrized $J$-holomorphic‎ ‎curves ...

  • Weil-Petersson metrics on deformation spaces 

    Cao, H.-D.؛ Sun, X.؛ Yau, S.-T.؛ Zhang, Y. (Iranian Mathematical Society, 2020-03-01)
    In this paper we survey various aspects of the classical wpm and its generalizations‎, ‎in particular on the moduli space of ke manifolds‎. ‎Being a natural $L^2$ metric on the parameter space of a family of complex manifolds ...

  • Shing-Tung Yau's work on the notion of mass in general relativity 

    Wang, M.-T. (Iranian Mathematical Society, 2020-03-01)
    The notion of mass or energy has been one of the most challenging problems in general relativity since Einstein's time. As is well known from the equivalence principle, there is no well-defined concept of energy density ...

  • Canonical sections of Hodge bundles on moduli spaces 

    Liu, K.؛ Shen, Y. (Iranian Mathematical Society, 2020-03-01)
    We review recent works in [K. Liu, S. Rao, and X. Yang, Quasi-isometry and deformations of Calabi Yau manifolds, Inventiones mathematicae, 199(2) (2015),  423–453] and [K. Liu and Y. Shen, Moduli spaces as ball quotients ...