Advances in the mathematical sciences : research from the 2015 Association for Women in Mathematics Symposium /: research from the 2015 Association for Women in Mathematics Symposium. (2016)

• Record Type: Book
• Further Information: Note: Gail Letzter, editor-in-chief ; Kristin Lauter, Erin Chambers, Nancy Flournoy, Julia Elisenda Grigsby, Carla Martin, Kathleen Ryan, Konstantina Trivisa, editors.
• Other Names: Letzter, Gail; Lauter, Kristin; Chambers, Erin; Flournoy, Nancy; Grigsby, Julia Elisenda; Martin, Carla; Ryan, Kathleen; Trivisa, Konstantina; Association for Women in Mathematics (U.S.)., Research Symposium, (3rd) 2015 (University of Maryland)
• Contents: Preface; Contents; Part I From the Plenary Talks; Floer Field Philosophy; 1 Introduction; 1.1 A Brief Introduction to Invariants of Manifolds; 2 Floer Field Theory; 2.1 Categories and Functors; 2.2 The Symplectic Category; 2.3 Categories with Cerf Decompositions; 2.4 Construction Principle for Floer Field Theories; 2.5 2+1 Floer Field Theories Arising from Gauge Theory; 2.6 Atiyah -- Floer Type Conjectures for 3-Manifold Invariants; 3 Extensions of Floer Field Theories; 3.1 2-Categories and Bicategories; 3.2 Higher Bordism Categories; 3.3 Functors Between Bi- and 2-Categories 3.4 Adjunctions, Quilt Diagrams, and Quilted Bicategories3.5 The Symplectic 2-Category; 3.6 Gauge Theoretic 2-Categories and Quilted Atiyah Floer Conjectures; 4 Known Issues in the Bibliography; References; Part II Low Dimensional Topology; An Elementary Fact About Unlinked Braid Closures; 1 Khovanov Homology Proof of Proposition 1; 2 Fibred Links in #n(S1 timesS2); 2.1 Heegaard -- Floer Homology Proof of Proposition 2; References; Symmetric Unions Without Cosmetic Crossing Changes; 1 Introduction; 2 Symmetric Unions; 2.1 Knot Floer Homology; 2.2 Main Examples; 3 Proof of Main Theorem 3.1 Khovanov Homology3.2 Proof of Main Theorem; 3.3 Observations; References; The Total Thurston -- Bennequin Number of Complete and Complete Bipartite Legendrian Graphs; 1 Introduction; 2 The Total Thurston -- Bennequin Number for Complete Graphs; 2.1 Remarks About K4; 2.2 Remarks About K5; 3 The Total Thurston -- Bennequin Number for Complete Bipartite Graphs; 4 Questions and Examples of Embeddings; References; Coverings of Open Books; 1 Introduction; 2 Giroux Correspondence and Coverings; 3 The Overtwisted Complexity, Depth of Bindings and Open Book Coverings 4 Illustration of Overtwisted Coverings and a Pants PatternReferences; Part III Mathematical Biology; Understanding Locomotor Rhythm in the Lamprey Central Pattern Generator; 1 Introduction; 2 Experimental Results; 3 Mathematical Modeling Results; 4 Entrainment Ranges; 5 Discussion; References; Applications of Knot Theory: Using Knot Theory to Unravel Biochemistry Mysteries; 1 Knots and Links; 1.1 Knot and Link Invariants; 2 Biology Background; 2.1 Replication; 2.2 Topoisomerase; 2.3 Recombinase; References; Metapopulation and Non-proportional Vaccination Models Overview; 1 Introduction 2 Methodology2.1 Metapopulation Model; 2.2 Non-proportional Vaccination Model; 3 Results and Simulations; 3.1 Metapopulation Model; 3.2 Non-proportional Vaccination Model; 4 Final Remarks; References; Controlling a Cockroach Infestation; 1 Introduction; 2 The Mathematical Model; 2.1 The Basic Model; 2.2 The Effect of Pesticides; 2.3 Pesticide Parameters; 2.4 Population Growth Parameters; 3 Results; 3.1 Stability Analysis; 3.2 Genetic Algorithm; 4 Discussion; References; The Impact of Violence Interruption on the Diffusion of Violence: A Mathematical Modeling Approach; 1 Introduction
• Publisher Details: Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource (xvii, 436 pages), illustrations (some color)
• Subjects: 510; Mathematics; Mathematics -- Congresses; Biomathematics -- Congresses; Mathematical statistics -- Congresses; MATHEMATICS / Essays; MATHEMATICS / Pre-Calculus; MATHEMATICS / Reference; Biomathematics; Mathematical statistics; Mathematics; Mathematics -- Topology; Mathematics -- Applied; Mathematics -- Differential Equations; Education -- Teaching Methods & Materials -- Mathematics; Mathematics -- Probability & Statistics -- General; Topology; Maths for scientists; Differential calculus & equations; Teaching of a specific subject; Probability & statistics; Topology; Differential equations, partial; Statistics; Applied mathematics; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319341392; 3319341391
• Related ISBNs: 3319341375; 9783319341378
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.