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Complex manifolds
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91	¨ HERMITIAN SYMMETRIC SPACES AND KAHLER RIGIDITY MARC BURGER, ALESSANDRA IOZZI, AND ANNA WIENHARD Abstract. We characterize irreducible Hermitian symmetric spaces of nontube type both in terms of the topology of the spa Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2007-08-21 13:01:37 Abstract algebra Differential geometry Riemannian geometry Homogeneous spaces Complex manifolds Symmetric space Hermitian symmetric space Representation theory Real form Geometry Mathematical analysis Lie groups
92	Math. Z[removed]:195–208 DOI[removed]s00209[removed]x Mathematische Zeitschrift Virtual Betti numbers and virtual symplecticity Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2014-05-14 19:04:13 Symplectic geometry Differential topology Algebraic topology Symplectic manifold Symplectic vector space Fiber bundle Geometrization conjecture Almost complex manifold Nielsen–Thurston classification Topology Geometric topology 3-manifolds
93	Proc. Indian Acad. Sci. (Math. Sci.) Vol. 116, No. 4, November 2006, pp. 459–475. © Printed in India Gromov–Witten invariants and quantum cohomology AMIYA MUKHERJEE Stat-Math Division, Indian Statistical Institute, Add to Reading List Source URL: www.ias.ac.in Language: English - Date: 2007-03-06 06:00:34 Smooth manifolds Symplectic topology Symplectic geometry String theory Algebraic geometry Almost complex manifold Differentiable manifold Complex manifold Gromov–Witten invariant Differential topology Differential geometry Theoretical physics
94	Week 8 (due May[removed]a) Let M be a K¨ahler manifold with K¨ahler metric gi¯j . Show that the only nonvanishing components of the Riemann tensor are Ri¯jk¯l = −R¯jik¯l = −Ri¯jk¯l = R¯ji¯lk . Show that mi Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-05-21 13:17:42 Curvature Riemannian manifolds Tensors Complex manifolds Symplectic geometry Ricci curvature Einstein manifold Riemann curvature tensor Fubini–Study metric Geometry Differential geometry Theoretical physics
95	Week 7 (due May[removed]Let h be a Hermitian metric on a complex manifold M , let g be the corresponding Riemannian metric, and ω the corresponding 2-form. Let J be the integrable almost complex structure tensor on M cor Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-05-15 01:00:35 Complex manifolds Smooth manifolds Riemannian geometry Almost complex manifold Hermitian manifold Algebraic geometry Riemannian manifolds Kähler manifold Differentiable manifold Geometry Differential geometry Differential topology
96	Quotients of E n by an+1 and Calabi-Yau manifolds Kapil Paranjape and Dinakar Ramakrishnan Abstract. We give a simple construction, for n ≥ 2, of an ndimensional Calabi-Yau variety of Kummer type by studying the quotie Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:45:58 Algebraic geometry Differential geometry String theory Complex manifolds Group theory Calabi–Yau manifold Orbifold Blowing up Elliptic curve Abstract algebra Geometry Topology
97	VLAD MARKOVIC’S BIBLIOGRAPHY Preprints • Homology of curves and surfaces in closed hyperbolic 3-manifolds, submitted (with Y. Liu) • Harmonic maps between hyperbolic 3-spaces, accepted for publication in Invention Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2014-07-31 12:43:23 Conformal mapping Geometry Topology Homeomorphisms Quasiconformal mapping Mathematical analysis Complex analysis Riemann surfaces
98	Quotients of E n by an+1 and Calabi-Yau manifolds Kapil Paranjape and Dinakar Ramakrishnan Abstract. We give a simple construction, for n ≥ 2, of an ndimensional Calabi-Yau variety of Kummer type by studying the quotie Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:45:58 Algebraic geometry Differential geometry String theory Complex manifolds Group theory Calabi–Yau manifold Orbifold Blowing up Elliptic curve Abstract algebra Geometry Topology
99	BOOK REVIEWS Combinatorial Geometry and its Algorithmic Applications by Janos Pach and Micha Shahir (The Alcalá Lectures), American Mathematical Society, Math. Surveys and Monographs 152, 2009, ISBN[removed]9; v Add to Reading List Source URL: www.emis.ams.org Language: English - Date: 2011-03-28 11:32:10 Differential geometry Complex manifolds Riemannian geometry Riemannian manifolds Calabi–Yau manifold Hyperkähler manifold Calibrated geometry Holonomy Homological mirror symmetry Geometry Topology Algebraic geometry
100	hodge_book_13feb_edited.dvi Add to Reading List Source URL: press.princeton.edu Language: English - Date: 2014-04-03 16:45:46 Complex manifolds Algebraic geometry Projective geometry Smooth manifolds Biholomorphism Differentiable manifold Almost complex manifold Riemann sphere Kähler manifold Geometry Mathematical analysis Abstract algebra

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