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- M Daniel, P Kirk, K P Wojciechowski
- 1999

We derive a decomposition formula for the spectral flow of a 1-parameter family of self-adjoint Dirac operators on an odd-dimensional manifold M split along a hypersurface Σ (M = X ∪Σ Y ). No transversality or stretching hypotheses are assumed and the boundary conditions can be chosen arbitrarily. The formula takes the form SF (D) = SF (D|X , BX) + SF (D|Y… (More)

The main theme of our lectures is to discuss how the decomposition of a manifold (space-time) affects the structure of the ζ-determinant, which is a delicate spectral invariant. This subject has been studied by many authors from many different perspectives (see for instance [ 11], [ 12], [ 14], [ 15], [ 19], [ 25], [ 27] , [ 28], [ 35], [ 36] and infinitely… (More)

- Mieczysław Makosza, Krzysztof Wojciechowski
- Chemical reviews
- 2004

- Mateusz Fedoryszak, Lukasz Bolikowski, Dominika Tkaczyk, Krzysztof Wojciechowski
- Intelligent Tools for Building a Scientific…
- 2013

- Adam Trawczyński, Robert Bujok, Zbigniew Wróbel, Krzysztof Wojciechowski
- Beilstein journal of organic chemistry
- 2013

Alkylation of 5-nitroindol-4-ylacetonitriles with ethyl chloroacetate, α-halomethyl ketones, and chloroacetonitrile followed by a treatment of the products with chlorotrimethylsilane in the presence of DBU gives 1-cyanopyrrolo[3,2-e]indoles substituted in position 2 with electron-withdrawing groups.

To honor and to please our friend Krzysztof P. Wojciechowski I will review the milestones of his mathematical work. This will at the same time be a tour of Analysis and Geometry of Boundary Value Problems. Starting in the 80s I will discuss the spectral flow and the general linear conjugation problem, the Calderón projector and the topology of space of… (More)

- Michał Wiȩcław, Mariusz Bobin, Andrzej Kwast, Robert Bujok, Zbigniew Wróbel, Krzysztof Wojciechowski
- Molecular Diversity
- 2015

Carbanions of phenylacetonitriles, benzyl sulfones, and dialkyl benzylphosphonates add nitroarenes at the ortho-position to the nitro group to form $$\sigma ^\mathrm{H}$$ σ H -adducts that, upon treatment with trialkylchlorosilane and additional base (t-BuOK or DBU), transform into 3-aryl-2,1-benzisoxazoles in moderate-to-good yields.

Anilines react with 5-nitroindoles in the presence of t-BuOK in N,N-dimethylformamide (DMF) to form 5-nitroso-4-arylaminoindoles that in turn when treated with N,O-bis(trimethylsilyl)acetamide cyclize to pyrrolo[3,2-a]phenazines. In an alternative approach pyrrolo[3,2-a]phenazines are formed from aminoindoles and nitroarenes.