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$\partial_{ψ}$ - difference calculus Bernoulli-Taylor formula

Krot, Ewa (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

100th anniversary of birthday of Eduard Čech

Kolář, Ivan (1994)

Proceedings of the Winter School "Geometry and Physics"

A case study of quantization of curves surfaces: The Myllar balloon

Mladenov, Ivaïlo M. (2004)

Proceedings of the 23rd Winter School "Geometry and Physics"

A complex from linear elasticity

Eastwood, Michael (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Introduction: This article will present just one example of a general construction known as the Bernstein-Gelfand-Gelfand (BGG) resolution. It was the motivating example from two lectures on the BGG resolution given at the 19th Czech Winter School on Geometry and Physics held in Srní in January 1999. This article may be seen as a technical example to go with a more elementary introduction which will appear elsewhere [M. Eastwood, Notices Am. Math. Soc. 46, No. 11, 1368-1376 (1999)]. In fact, there...

A construction of finite-dimensional faithful representation of Lie algebra

Neretin, Yurii A. (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

Summary: The Ado theorem is a fundamental fact, which has a reputation of being a `strange theorem'. We give its natural proof.

A gauge theory for the Kadomtsev-Petviashvili system

Kanemaki, S., Królikowski, W., Suzuki, O. (1987)

Proceedings of the 14th Winter School on Abstract Analysis

A generalization of Fueter’s monogenic functions to fine domains

Lávička, Roman (2006)

Proceedings of the 25th Winter School "Geometry and Physics"

A generalized Leibniz rule and foundation of a discrete quaternionic analysis

Gürlebeck, K., Sprössig, W. (1987)

Proceedings of the Winter School "Geometry and Physics"

A high-order helicity invariant and the Rokhlin theorem

Akhmetiev, Peter M. (1996)

Proceedings of the 15th Winter School "Geometry and Physics"

A note on Fiedler-Moravek combinatorial problem

Vinárek, Jiří (1987)

Proceedings of the 14th Winter School on Abstract Analysis

A note on n-ary Poisson brackets

Michor, Peter W., Vaisman, Izu (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

An $n$ -ary Poisson bracket (or generalized Poisson bracket) on the manifold $M$ is a skew-symmetric $n$ -linear bracket ${, \dots,}$ of functions which is a derivation in each argument and satisfies the generalized Jacobi identity of order $n$ , i.e., $\sum_{σ \in S_{2 n - 1}} (sign σ) {{f_{σ_{1}}, \dots, f_{σ_{n}}}, f_{σ_{n + 1}}, \dots, f_{σ_{2 n - 1}}} = 0,$ $S_{2 n ...}$

A problem about Feynman integrals on Riemannian manifolds

Torriani, Hugo H. (1987) Proceedings of the Winter School "Geometry and Physics"

A quaternionic treatment of Navier-Stokes equations

Gürlebeck, Klaus, Sprössig, Wolfgang (1990) Proceedings of the Winter School "Geometry and Physics"

A remark on natural quantum Lagrangians and natural generalized Schrödinger operators in Galilei quantum mechanics

Janyška, Josef (2001) Proceedings of the 20th Winter School "Geometry and Physics"

A remark on the $c$ -splitting conjecture

Haller, Stefan (2004)

Proceedings of the 23rd Winter School "Geometry and Physics"

A remark on the topology of higher order frames

Ortaçgil, Ercüment (2004)

Proceedings of the 23rd Winter School "Geometry and Physics"

A representation of the coalgebra of derivations for smooth spaces

Fischer, Gerald (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

Let $K$ be a field. The generalized Leibniz rule for higher derivations suggests the definition of a coalgebra $𝒟_{K}^{k}$ for any positive integer $k$ . This is spanned over $K$ by $d_{0}, ..., d_{k}$ , and has comultiplication $Δ$ and counit $ε$ defined by $Δ (d_{i}) = \sum_{j = 0}^{i} d_{j} \otimes d_{i - j}$ and $ε (d_{i}) = δ_{0, i}$ (Kronecker’s delta) for any $i$ . This note presents a representation of the coalgebra $𝒟_{K}^{k}$ by using smooth spaces and a procedure of microlocalization. The author gives an interpretation of this result following the principles of the quantum theory of geometric spaces.

A survey of boundary value problems for bundles over complex spaces

Harris, Adam (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

Let $X$ be a reduced $n$ -dimensional complex space, for which the set of singularities consists of finitely many points. If $X^{'} \subseteq X$ denotes the set of smooth points, the author considers a holomorphic vector bundle $E \to X^{'} ∖ A$ , equipped with a Hermitian metric $h$ , where $A$ represents a closed analytic subset of complex codimension at least two. The results, surveyed in this paper, provide criteria for holomorphic extension of $E$ across $A$ , or across the singular points of $X$ if $A = ⌀$ . The approach taken here is via the metric...

A unified construction of the Alexander- and the Jones-invariant

Lüdde, Mirko (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

A vector lattice variant of the ergodic theorem

Maličký, Peter (1987)

Proceedings of the 14th Winter School on Abstract Analysis

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