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This paper has been withdrawn by the author because Conjecture 1 is false. Please see arXiv:0901.2093 for a justification that Conjecture 1 is false. The other main results are also available from the above URL.
Given a closed, orientable Lagrangian submanifold $L$ in a symplectic manifold $(X, \omega)$, we show that if $L$ is relatively exact then any Hamiltonian diffeomorphism preserving $L$ setwise must preserve its orientation. In contrast to…
This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."
This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…
This paper has been withdrawn by the author, due to an error in the inequality after the inequality (31).
This paper has been withdrawn by the author due to a crucial sign error in equation (5).
Via considerations of symplectic reduction, monodromy, mirror symmetry and Chern-Simons functionals, a conjecture is proposed on the existence of special Lagrangians in the hamiltonian deformation class of a given Lagrangian submanifold of…
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn, not because of any errors (that we know of), but because rather than presenting our material as a series of 3 papers, as we originally intended, we have now combined them into one long paper, which is "A…
This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.
This paper is withdrawn because of an error in Lemma 3.1
This paper has been withdrawn by the author due to a critical error in the proof of Theorem 5.4 on which the proof of the main theorem on the non-simplenss was based.
This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.
This paper has been temporarily withdrawn by the author. A modified version will be resubmitted. One of the trivial solutions was missed with crucial bearing on conclusions.
This paper has been withdrawn by the authors, due an incorrect treatment of the effective Lagrangian, which led to the wrong conclusion on the disappearance of physical theta dependence in gluodynamics. See hep-ph/9711398 for a correct…
This paper was withdrawn by the authors. Lemma 5.1 is wrong.
The paper is being withdrawn. A new submission will follow.
This paper has been withdrawn by the authors due to a coding error and a missed diagram. The calculation has been completely redone, with very different results, and with an additional author, and will be submitted to the arxiv shortly.