Symplectic geometry

Results: 343



#Item
171Homology theory / 3-manifolds / Symplectic topology / Homological algebra / Floer homology / Contact geometry / Heegaard splitting / Quantum cohomology / Cohomology / Topology / Abstract algebra / Algebraic topology

Ai, Y., and Y. Ni[removed]) “Two Applications of Twisted Floer Homology,” International Mathematics Research Notices, Vol. 2009, No. 19, pp. 3726–3746 Advance Access publication June 5, 2009 doi:[removed]imrn/rnp070

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Source URL: www.its.caltech.edu

Language: English - Date: 2010-09-10 12:49:05
172Smooth 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

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,

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Source URL: www.ias.ac.in

Language: English - Date: 2007-03-06 06:00:34
173Hamiltonian mechanics / Theoretical physics / Symplectic vector space / Poisson bracket / Symplectic manifold / Tautological one-form / Differential topology / Symplectic geometry / Algebra

Week 5 (due May[removed]Consider a classical particle on a manifold X with an action Z  pi dq i − αi dq i − H(p, q)dt . S=

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Source URL: www.theory.caltech.edu

Language: English - Date: 2009-04-30 14:08:30
174Curvature / Riemannian manifolds / Tensors / Complex manifolds / Symplectic geometry / Ricci curvature / Einstein manifold / Riemann curvature tensor / Fubini–Study metric / Geometry / Differential geometry / Theoretical physics

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

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Source URL: www.theory.caltech.edu

Language: English - Date: 2009-05-21 13:17:42
175Theoretical physics / Symplectic vector space / Moment map / Symplectic cut / Symplectic matrix / Differential topology / Symplectic geometry / Algebra

Week 6 (due May[removed]Consider the space of complex square matrices of size n × n. This is a complex vector space of dimension n2 . Consider a symplectic form on it: i ω = Tr dZ ∧ dZ † , 2

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Source URL: www.theory.caltech.edu

Language: English - Date: 2009-05-07 13:58:27
176String theory / Algebraic geometry / Quantum field theory / Symplectic topology / Mirror symmetry / Gromov–Witten invariant / Calabi–Yau manifold / Moduli / Orbifold / Physics / Theoretical physics / Geometry

cmim-1-title.qxp[removed]:03 AM

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2008-06-06 10:36:01
177Symplectic geometry / Dynamical systems / Lagrangian / Gauge theory / Poisson bracket / Dirac bracket / Physics / Theoretical physics / Hamiltonian mechanics

Week 7 (due Feb[removed]Using the Poisson brackets for electric and magnetic fields in Maxwell theory (derived in class) and the Hamiltonian Z 1 H = d3 x (E 2 + B 2 ),

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Source URL: www.theory.caltech.edu

Language: English - Date: 2014-02-20 13:05:31
178Symplectic group / Differential geometry / Abstract algebra / Unitary group / Orthogonal group / Lie groups / Symplectic geometry / Differential topology

Week 4 (due April 30) Reading: Srednicky, sections 69, 70. See also a book by Howard Georgi, ”Lie algebras in particle physics”. 1. (a) (10 points) The complex symplectic group Sp(2N, C) is a complex subgroup of GL(2

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Source URL: www.theory.caltech.edu

Language: English - Date: 2010-04-24 12:44:58
179Lie groups / Connection / Symplectic geometry / Symplectic group / Gauge theory / Covariant derivative / Unitary group / Higgs mechanism / Physics / Theoretical physics / Differential geometry

Week 1 (due April[removed]a) The complex symplectic group Sp(2N, C) is a complex subgroup of GL(2N, C) defined by the condition M t JM = J, where J is a block-offdiagonal matrix of the form   0 1

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Source URL: www.theory.caltech.edu

Language: English - Date: 2014-04-04 13:52:00
180Hamilton–Jacobi equation / Symplectic geometry / Ge

2002_Lac_du_Bonnet_statvotes.pdf

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Source URL: www.electionsmanitoba.ca

Language: English - Date: 2014-02-18 16:49:52
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