Towards Higher Categories

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The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory

Gauge Fields, Knots, and Gravity

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This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapi

Introduction to Algebraic and Constructive Quantum Field Theory

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The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern ma

Knots and Quantum Gravity

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Recent work by mathematicians and physicists has uncovered revelatory connections between knot theory and the problem of developing a quantum theory of gravity.

Quantum Techniques In Stochastic Mechanics

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We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many oth