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Naturality and Mapping Class Groups in Heegard Floer Homology
  • Language: en
  • Pages: 174

Naturality and Mapping Class Groups in Heegard Floer Homology

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Breadth in Contemporary Topology
  • Language: en
  • Pages: 298

Breadth in Contemporary Topology

This volume contains the proceedings of the 2017 Georgia International Topology Conference, held from May 22–June 2, 2017, at the University of Georgia, Athens, Georgia. The papers contained in this volume cover topics ranging from symplectic topology to classical knot theory to topology of 3- and 4-dimensional manifolds to geometric group theory. Several papers focus on open problems, while other papers present new and insightful proofs of classical results. Taken as a whole, this volume captures the spirit of the conference, both in terms of public lectures and informal conversations, and presents a sampling of some of the great new ideas generated in topology over the preceding eight years.

Research Directions in Symplectic and Contact Geometry and Topology
  • Language: en
  • Pages: 341

Research Directions in Symplectic and Contact Geometry and Topology

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology. This field has experienced significant and exciting growth in the past few decades, and this volume provides an accessible introduction into many active research problems in this area. The papers were written with a broad audience in mind so as to reach a wide range of mathematicians at various levels. Aside from teaching readers about developing research areas, this book will inspire researchers to ask further questions to continue to advance the field. The volume contains both original results and survey articles, presenting ...

Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation
  • Language: en
  • Pages: 131
Positive Gaussian Kernels Also Have Gaussian Minimizers
  • Language: en
  • Pages: 90

Positive Gaussian Kernels Also Have Gaussian Minimizers

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Isoperimetric Inequalities in Unbounded Convex Bodies
  • Language: en
  • Pages: 86

Isoperimetric Inequalities in Unbounded Convex Bodies

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Differential and Low-Dimensional Topology
  • Language: en
  • Pages: 239

Differential and Low-Dimensional Topology

A concise introduction to the most important parts of differential and low-dimensional topology for incoming graduate students.

Non-Semisimple Extended Topological Quantum Field Theories
  • Language: en
  • Pages: 161

Non-Semisimple Extended Topological Quantum Field Theories

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Frontiers in Geometry and Topology
  • Language: en
  • Pages: 320

Frontiers in Geometry and Topology

This volume contains the proceedings of the summer school and research conference “Frontiers in Geometry and Topology”, celebrating the sixtieth birthday of Tomasz Mrowka, which was held from August 1–12, 2022, at the Abdus Salam International Centre for Theoretical Physics (ICTP). The summer school featured ten lecturers and the research conference featured twenty-three speakers covering a range of topics. A common thread, reflecting Mrowka's own work, was the rich interplay among the fields of analysis, geometry, and topology. Articles in this volume cover topics including knot theory; the topology of three and four-dimensional manifolds; instanton, monopole, and Heegaard Floer homologies; Khovanov homology; and pseudoholomorphic curve theory.

Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations
  • Language: en
  • Pages: 108