We introduce a multiple generalization of the tame symbol, called polysymbols, associated to meromorphic functions on a Riemann surface as the Massey products in the Deligne cohomology, and also give a geometric construction of polysymbols using Chen\u27s iterated integrals. We then show some basic properties of polysymbols, and show that trivializations of polysymbols give variations of mixed Hodge structure
The goal of this book is to explain the interrelations between three distinct ways to consider an em...
A symplectic manifold is a 2n-dimensional smooth manifold endowed with a closed, non-degenerate 2-fo...
239 pagesI present three papers written on the theme of the interaction between polyhedra and Hamil-...
We discuss a multiple generalization of the classical tame symbol on a Riemann surface. Let us start...
Abstract. In this exposition we shall describe a new way to analytically continue the multiple polyl...
This thesis contains polyfold constructions with applications to symplectic topology, as well as Kün...
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its...
<p>In this thesis, we construct a Massey triple product on the Deligne cohomology of the modular cur...
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its...
In this research work, a generalized extension of morphismshas been proposed to define generalized g...
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for...
Mirkovic and Vilonen give a proof of the geometric Satake correspondence which provides a natural ba...
Classically, higher logarithms appear as multivalued functions on the projective line. Today they ca...
Abstract. The polytope structure of the associahedron is decomposed into two categories, types and c...
The key to the Hard Lefschetz Theorem for combinatorial intersection cohomology of polytopes is to p...
The goal of this book is to explain the interrelations between three distinct ways to consider an em...
A symplectic manifold is a 2n-dimensional smooth manifold endowed with a closed, non-degenerate 2-fo...
239 pagesI present three papers written on the theme of the interaction between polyhedra and Hamil-...
We discuss a multiple generalization of the classical tame symbol on a Riemann surface. Let us start...
Abstract. In this exposition we shall describe a new way to analytically continue the multiple polyl...
This thesis contains polyfold constructions with applications to symplectic topology, as well as Kün...
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its...
<p>In this thesis, we construct a Massey triple product on the Deligne cohomology of the modular cur...
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its...
In this research work, a generalized extension of morphismshas been proposed to define generalized g...
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for...
Mirkovic and Vilonen give a proof of the geometric Satake correspondence which provides a natural ba...
Classically, higher logarithms appear as multivalued functions on the projective line. Today they ca...
Abstract. The polytope structure of the associahedron is decomposed into two categories, types and c...
The key to the Hard Lefschetz Theorem for combinatorial intersection cohomology of polytopes is to p...
The goal of this book is to explain the interrelations between three distinct ways to consider an em...
A symplectic manifold is a 2n-dimensional smooth manifold endowed with a closed, non-degenerate 2-fo...
239 pagesI present three papers written on the theme of the interaction between polyhedra and Hamil-...