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The Fredholm Factorization Method Directly Applied to Generalized Wiener-Hopf Equations.

I will survey various results on applications and extensions of Hofer-Wysocki-Zehnder's polyfold theory: - fiber products of polyfold Fredholm sections - equivariant transversality - existence and obstructions - equivariant fundamental class -

regular singularities by using their Fredholm determinant representation [8], and show that they. ... describe the pants decomposition, and briefly recap the construction of the Fredholm deter-.

We develop a continuous version of Kasteleyn theory to show that partition functions for bead configurations on T_n may be expressed in terms of Fredholm determinants of certain operators on

Consider a space XX, such as a compact space of JJ-holomorphic stable maps with closed domain, that is the zero set of a Fredholm operator.

v) A is Fredholm on one of the spaces Y. (vi) A is Fredholm on all the spaces Y. ... 17] S. Roch: Band-dominated operators on pspaces: Fredholm indices and finitesections, Acta Sci.

If C is semi-Fredholm then α(C) β(C) is called theindex of C. ... 899) that L is Fredholm iff all the limitoperators of L are invertible.

of finite rank), then T K is also Fredholm and index(T K) = index T. ... This operator is Fredholm of. index E p. Therefore,index A = E p = E.

In particular, we identify the Fredholm deter-minant of the integral equation inverting the nonlocal ̄-dressing problem with the τ -function. ... Then, by the Fredholm alternative, the homogeneousequation with η = 0 has only the trivial solution.

the Fredholm module canonically associated to the spectral triple to an ‘instanton’ projection e. ... With different representations a non-trivial Fredholm module was already constructed in [17].