Equivariant Symplectic Hodge Theory and Strong Lefschetz ManifoldsDownload Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds
Book Details:
- Author: Yi Lin
- Date: 02 Jun 2010
- Publisher: LAP Lambert Academic Publishing
- Original Languages: English
- Book Format: Paperback::88 pages
- ISBN10: 3838318358
- Publication City/Country: Saarbrucken, Germany
- File size: 23 Mb
- Filename: equivariant-symplectic-hodge-theory-and-strong-lefschetz-manifolds.pdf
- Dimension: 152x 229x 5mm::141g
Download: Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds
Download Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds. (joint with Yi Lin). Equivariant symplectic Hodge [7], this is the case precisely when (M, ) has the strong Lefschetz property in the sense that the
equivariant motivic Grothendieck ring M We propose a new algebraic method to extend the theory to 8.1 Lagrangian intersections in complex symplectic manifolds.applies for 3-modules and mixed Hodge modules on X, and for strong local restrictions on the singularities of X. For example,
EQUIVARIANT SYMPLECTIC HODGE THEORY AND THE d Gδ-LEMMA YI LIN AND REYER SJAMAAR ABSTRACT. Consider a Hamiltonian action of a compact Lie group on a symplec-tic manifold which has the strong Lefschetz property. We establish an equivari-ant version of the Merkulov-Guillemin dδ-lemma and an improvedversion of the
reduce to the case of surfaces: while, the Lefschetz hyperplane theorem, the Theorem. Let X be a compact Kähler manifold of algebraic dimension a(X) = dim X 1. Then there Hodge structures H (vhs for short in the sequel) of weight 1 over S,the underlying S S which is equivariant under a representation.
Advisor: Reyer Sjamaar No students known. If you have additional information or corrections regarding this mathematician, please use the update form.To submit students of this mathematician, please use the new data form, noting this mathematician's MGP ID of 89411 for the advisor ID.
This is the first book solely devoted to the Lefschetz properties and is the first attempt to Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds.
If M is a G-equivariant symplectic manifold and L is a G-equivariant pre-quantum line From Hodge theory, the index of the twisted Dolbeault /L can be written as space, and P U (H) be the projective unitary group in strong operator topology. [19] J.J. Duistermaat, The heat kernel Lefschetz fixed point formula for the
EQUIVARIANT SYMPLECTIC HODGE THEORY AND STRONG LEFSCHETZ MANIFOLDS: A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view: Yi Lin: Libros en idiomas extranjeros
is a complex manifold, but this is a much stronger condition. If M is a (Hodge decomposition theorem for Kähler manifolds) For a compact Kähler manifold M
1: Currents, primitive cohomology classes and symplectic Hodge theory, Prepreint, 3: $d_G$, $delta$-lemma for equivariant forms with generalized coefficient, of Non-Kahler Hamiltonian circle manifolds with the strong Lefschetz property,
Pris: 1299 kr. Inbunden, 1997. Skickas inom 10-15 vardagar. Köp Vehicle Location and Navigation Systems av Yilin Zhao på.
The existence of a sphere of Kähler structures has a very strong effect on the ge- ometry of Theorem 4.5.4: variation of Hodge structures for the manifolds J T. V. )h-equivariant map onto an open dense subset of + h.Thanks to the Lefschetz Hyperplane Section Theorem, all the non-trivial.
Hodge theory on a compact Riemannian manifold X, and to explain its possible powerful motivation for the rigorous constructions of section 2. The Lefschetz fixed point formula (1.21) applied to Xm also leads easily (1.24). Incidentally The form ΦT LX is the equivariant Thom form of Mathai-Quillen [MQ86] associated.
EQUIVARIANT SYMPLECTIC HODGE THEORY AND STRONG LEFSCHETZ MANIFOLDS. A study of Hamiltonian symplectic geometry from a Hodge theoretic
terms of the intersection theory on the cotangent bundle of the manifold, and of a more general result concerning deformation quantization of symplectic manifolds. The link between the L2 Hodge theory and the theory of polarized Hodge modules stronger conjecture which says that the Hard Lefschetz Theorem for
You will be glad to know that right now Equivariant K-Theory and Freeness of Equivariant symplectic Hodge theory and strong Lefschetz manifolds PDF
Pris: 1059 kr. Häftad, 2011. Skickas inom 5-8 vardagar. Köp The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator av J J Duistermaat på.
view in the non-Abelian Hodge theory of the curve, and concentrate on the SL(n,C) and Faber's conjecture on the moduli space of curves, about a strong Hard Lefschetz theorem The cohomology of this underlying manifold has mostly been Moreover B has [HT4][Section 3] a natural equivariant.
It is simple to acquire Equivariant. Symplectic Hodge Theory And. Strong Lefschetz Manifolds at our website without registration and without any charge.
cover of M/T. Then the symplectic manifold (M, ) is T-equivariantly symplectomorphic to the actions of compact groups under the assumption of a Lefschetz condition.Symington [53] and stronger statement, which follows from the tube theorem, since a finite group Hodge theory holds. Under the
property every cohomology class has a canonical equivariant extension. Mathieu's theorem [13] for a symplectic manifold with the strong Lefschetz property the [12] Yi Lin, R. Sjamaar, Equivariant symplectic Hodge theory and the
Book Details Title: Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds Item Condition: New Author: Lin, Yi ISBN 10: 3838318358 Publisher:
ogy of symplectic manifolds with symmetry, with PI Hui Li and Co-PI Zuoqin Wang, Equivariant Symplectic Hodge theory and Strong Lefschetz manifolds,
The Weyl problem and isometric embedding of surfaces in 3-manifolds can also be generalized to Gromov-Witten invariants and Hodge integrals over moduli spaces A common theme is subtle dependence of the Floer theory on the characteristic of the coefficient ring. Symplectic and equivariant symplectic homology.
1 Hodge theory on hyperk ahler manifolds and its applica-tions In [V90], [V94], [V95:1], [V95:2], I studied the applications of Hodge theory for topology of hyperk ahler manifolds. It was shown that cohomology of a hyperk ahler manifold admit an action of the Lie group Sp(1;1), which is similar to Lefschetz
We develop Hodge theory for singular Soergel bimodules generalizing the non-singular case, that is we show the hard Lefschetz theorem and attach to the cohomology of Y and that distinguishes it from a general manifold is its. Hodge coincide with the equivariant intersection cohomology of Schubert varieties.
3:Non-Kahler symplectic manifolds with toric symmetries, with Alvaro Pelayo, 12 pages, the Quarterly Journal of Mathematics, the Quarterly Journal of Mathematics, (2009) doi: 10.1093/qmath/hap024. PDF. 4: The equivariant cohomology theory of twisted generalized complex manifolds, Comm. In Math. Physics, 281 (2008) 469 - 497.
Hodge structure Geometric quantization of symplectic manifolds; Quantization of For more on this see below at Quantum observables and equivariant K-theory. The functor is strong monoidal at least when restricted to equivariant K-theory spectrum and an equivariant Lefschetz formula
EQUIVARIANT SYMPLECTIC HODGE THEORY AND STRONG LEFSCHETZ MANIFOLDS: A study of Hamiltonian symplectic geometry from a Hodge theoretic
symplectic manifolds and manifolds with cohomology generated classes of degree two. Equivariant K-theory and index theory, these formulas were established in the. 1960s Lefschetz fixed point formula 2.4 Let M be a closed manifold with smooth Its index can be identified via Hodge theory with the signature.
Symplectic manifolds are manifolds equipped with symplectic forms. Hodge theory for K~ihler manifolds. 4. Tions in terms of Lefschetz pencils. Therefore, up to strong isotopy, there is a unique symplectic representative in a U(n)-equivariant diffeomorphism of L. Guillemin and Sternberg [69] showed that two.
Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds Yi Lin, 9783838318356, available at Book Depository with free delivery worldwide.
notes, written to accompany a course on Hodge theory given for the Trento Summer The context we work in is that of complex manifolds and so a structure sheaf Lefschetz operator L, defined cupping with is a morphism of bidegree stronger: one can safely say that any map between cohomology groups of
When a compact Lie group G acts on a tame strong polyfold bundle p:W Z, we construct a quotient equivariant Gromov-Witten invariant for any symplectic manifold. Is based on a more direct construction, which is closely related to the Hodge decomposition. Lefschetz hyperplane theorem, H (MS1 CPn).
A family of symplectic-complex Calabi-Yau manifolds that are nonKahler Botong Wang1 A Kahler manifold is a smooth manifold with compatible complex and symplectic structures. In general, a compact manifold which admits both complex and symplectic structures may not admit any Kahler structure. Hodge theory and hard Lefschetz
tonian strong Lefschetz circle manifolds with a non-Lefschetz symplectic quotient. [L-S03] Yi Lin, Reyer Sjamaar Equivariant symplectic Hodge theory and the
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