In this expository paper written for physicists and geometers we introduce the notions of TQFT and of orbifold. Then we survey the construction of TQFT's originating from orbifolds such as Chen-Ruan theory and Orbifold String Topology
I have shown that the field defined by the Wheeler-DeWitt equation for \textit{pure gravity} is neit...
This document is a set of notes I took on QFT as a graduate student at the University of Pennsylvani...
In a paper presented a few years ago, De Lorenci et al. showed, in thecontext of canonical quantum c...
The Worldline Quantum Field Theory (WQFT) has proven to be an efficient tool for calculating observa...
The fields nonlinear modes quantization scheme is discussed. New form of the perturbation theory ach...
Quantum mechanics around black holes has shown to be one of the most fascinating fields of theoretic...
We present a new approach to quantum gravity starting from Feynman's formulation for the simplest ex...
Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilber...
Special stochastic representation of the wave function in Quantum Mechanics (QM), based on soliton r...
In this thesis, we propose two extensions of a topological field theory. One is a construction of ne...
Not available. - Invited contribution to the Modern Encyclopedia of Mathematical Physics (by Springe...
We study the distributions of the continuous-time quantum walk on a one-dimensional lattice. In part...
For a given base space M (spacetime), we consider the Guichardet space over the Guichardet space ove...
We construct a new model of four-dimensional relativistic strings with integrable dynamics on the wo...
It is argued that quantum gravity has an interpretation as a topological quantum field theory provid...
I have shown that the field defined by the Wheeler-DeWitt equation for \textit{pure gravity} is neit...
This document is a set of notes I took on QFT as a graduate student at the University of Pennsylvani...
In a paper presented a few years ago, De Lorenci et al. showed, in thecontext of canonical quantum c...
The Worldline Quantum Field Theory (WQFT) has proven to be an efficient tool for calculating observa...
The fields nonlinear modes quantization scheme is discussed. New form of the perturbation theory ach...
Quantum mechanics around black holes has shown to be one of the most fascinating fields of theoretic...
We present a new approach to quantum gravity starting from Feynman's formulation for the simplest ex...
Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilber...
Special stochastic representation of the wave function in Quantum Mechanics (QM), based on soliton r...
In this thesis, we propose two extensions of a topological field theory. One is a construction of ne...
Not available. - Invited contribution to the Modern Encyclopedia of Mathematical Physics (by Springe...
We study the distributions of the continuous-time quantum walk on a one-dimensional lattice. In part...
For a given base space M (spacetime), we consider the Guichardet space over the Guichardet space ove...
We construct a new model of four-dimensional relativistic strings with integrable dynamics on the wo...
It is argued that quantum gravity has an interpretation as a topological quantum field theory provid...
I have shown that the field defined by the Wheeler-DeWitt equation for \textit{pure gravity} is neit...
This document is a set of notes I took on QFT as a graduate student at the University of Pennsylvani...
In a paper presented a few years ago, De Lorenci et al. showed, in thecontext of canonical quantum c...