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Lectures on Factorization Homology Categories and Topological Field Theories

This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples;

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Lectures on Functor Homology

homology and the three fields mentioned above offer compelling arguments for pushing the development of the functor viewpoint. The lectures in this;

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Factorization Algebras in Quantum Field Theory

how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such;

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Dualizable Tensor Categories

on tensor categories and homotopy fixed point structures, which in turn provide structured field theories; we describe the expectedconnection;

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Introductory Lectures On Knot Theory

, topological quantum field theories, to relations with gauge theory type invariants in 4-dimensional topology.More recently, Khovanov introduced link;

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Homotopy Theory with Bornological Coarse Spaces

. Thereby it develops background material about locally finite homology theories and C*-categories. The book is intended for advanced;

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Frobenius Algebras and 2-D Topological Quantum Field Theories

This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are;

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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories

The authors develop a theory of $THH$ and $TC$ of Waldhausen categories and prove the analogues of Waldhausen's theorems for $K$-theory;

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Advanced Classical Field Theory

on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology;

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Nonperturbative Topological Phenomena in QCD and Related Theories

is crucial in modern field/string theories, is elucidated by taking into consideration the electric-magnetic duality, the Poisson duality, and the;

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Geometric and Topological Inference

field of topological data analysis. Building on a rigorous treatment of simplicial complexes and distance functions, this self-contained book;

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Geometric and Topological Inference

field of topological data analysis. Building on a rigorous treatment of simplicial complexes and distance functions, this self-contained book;

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Frobenius Algebras & 2 D Topological Qua

This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are;

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Factorization Algebras in Quantum Field Theory

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role;

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An Alpine Bouquet of Algebraic Topology

spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild;

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Advances in Topological Quantum Field Theory

of Ohtsuki series by N. Jacoby and R. Lawrence, and a paper by M. Asaeda and J. Przytycki on the torsion conjecture for Khovanov homology by;

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Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory

This book presents a selection of advanced lectures from leading researchers, providing recent theoretical results on strongly coupled;

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Topological and Non-Topological Solitons in Scalar Field Theories

-integrable scalar field models with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, it;

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Topological Quantum Matter

This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field;

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Lectures On Fuzzy And Fuzzy Susy Physics

field theories as well as extended objects such as monopoles and nonlinear sigma modes are treated in considerable detail. A detailed treatment;

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Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School

lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory;

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Noncommutative Geometry And Physics 4 - Workshop On Strings, Membranes And Topological Field Theory

contains an overview of recent developments in the theory of strings and membranes, as well as topological field theory.;

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Advances in Applied and Computational Topology

applied and computational topology. Afra Zomorodian focuses on topological data analysis via efficient construction of combinatorial structures;

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Algebraic K-Theory and Algebraic Topology

the algebraic and topological points of view. The papers in this volume deal with a range of topics, including motivic cohomology theories;

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Algebraic Topology

, covering spaces and singular homology theory, in detail. The text has been designed for undergraduate and beginning graduate students;

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Topological Analysis of Patterns

We use computational homology to characterize the geometry of complicated time-dependent patterns. Homology provides very basic topological;

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Complex Algebraic Geometry

topics such as the minimal model program. Also included is an introduction to Hodge theory and intersection homology based on the simple;

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