Nonexistence of rational homology disk weak fillings of certain singularity links



Nonexistence of rational homology disk weak fillings of certain singularity links
Bhupal, Mohan Lal (2018-01-01)
We show that the Milnor fillable contact structures on the links of singularities having resolution graphs from some specific families that have members with arbitrarily large numbers of nodes do not admit weak symplectic fillings having the rational homology of the 4-disk. This result provides further evidence toward the conjecture that no such weak symplectic filling exists once the mininal resolution tree has at least two nodes.
Nonlocal regularisation of noncommutative field theories
Govindarajan, T. R.; Kürkcüoğlu, Seçkin; PANERO, Marco (World Scientific Pub Co Pte Lt, 2006-08-10)
We study noncommutative field theories, which are inherently nonlocal, using a Poincare-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cutoff scale. After discussing the general features and the peculiar advantages of this regularisation scheme for theories defined in noncommutative spaces, we focus our attention on the particular case when the noncommutativity parameter is inversely proportional to the square of the cutoff, via a dimensionless parameter eta....
Nonrenormalization of the Wess-Zumino-Witten term in the two-dimensional nonlinear σ model
Pak, Namik Kemal (American Physical Society (APS), 1989-4-15)
A coordinate-independent background-field expansion method, suitable for the nonlinear σ models with a Wess-Zumino-Witten term expressed as a three-dimensional integral which makes its topological nature manifest, is developed and applied to both purely bosonic and supersymmetric σ models. This algorithm allows us to compute the quantum corrections over the background-field contribution exactly. It is shown that in the conformal-invariant case, that is when the relation λ2=±4π/k holds between the coupling c...
Finashin, Sergey; VIRO, OY (1988-01-01)
Nonconvex optimization of desirability functions
Akteke-Ozturk, Basak; Köksal, Gülser; Weber, Gerhard Wilhelm (Informa UK Limited, 2018-01-01)
Desirability functions (DFs) are commonly used in optimization of design parameters with multiple quality characteristic to obtain a good compromise among predicted response models obtained from experimental designs. Besides discussing multi-objective approaches for optimization of DFs, we present a brief review of literature about most commonly used Derringer and Suich type of DFs and others as well as their capabilities and limitations. Optimization of DFs of Derringer and Suich is a challenging problem. ...
Citation Formats
M. L. Bhupal, Nonexistence of rational homology disk weak fillings of certain singularity links. 2016.