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CIRCLE-VALUED MORSE THEORY FOR FRAME SPUN KNOTS AND SURFACE-LINKS HISAAKI ENDO AND ANDREI PAJITNOV ABSTRACT Let Nk Ă Sk`2 be a closed oriented submanifold denote its comple-…
G G G G TTTTT T T T Circle-valued Morse theory and Reidemeister torsion Michael Hutchings Yi-Jen Lee Email: [email protected] and [email protected] Abstract
CONTENTS 1 KNOTS LINKS 3-MANIFOLDS AND CHERN-SIMONS THEORY 1 11 Knots Links and Braids 1 12 The Jones Polynomial 15 13 Classical Chern-Simons Theory 21 14 Wilson Lines 30…
GEOMETRIC CHAIN HOMOTOPY EQUIVALENCES BETWEEN NOVIKOV COMPLEXES D. SCHÜTZ Abstract. We give a detailed account of the Novikov complex corresponding to a closed 1-form ω…
A Brief Introduction to Morse Theory Gianmarco Molino Motivating Ideas Morse Theory Motivating Example Attaching λ-cells Morse Inequalities and Euler’s Number Applications…
STAVROS GAROUFALIDIS AND DON ZAGIER Abstract. We introduce an invariant of a hyperbolic knot which is a map α 7→ Φα(h) from Q/Z to matrices with entries
Morse Genericity and Morse’s Theorem for compact smooth manifolds. Tomas Kojar MAT 477Y March 25-th, 2014 Tomas Kojar (2014) Morse Genericity and Morse’s Theorem for…
L2-MODULI SPACES OF SYMPLECTIC VORTICES ON RIEMANN SURFACES WITH CYLINDRICAL END METRICS BOHUI CHEN, BAI-LING WANG, AND RUI WANG ABSTRACT. Let X,ω be a compact symplectic…
Rho Invariants and Knots ∗ Universität Regensburg, SS 2020 June 10, 2020 1 Lecture 1: Preliminaries 1.1 Some Linear Algebra Let H be a �nite-dimensional vector space…
Algebra i analiz St. Petersburg Math. J. Tom. 18 2006, � 5 Vol. 18 2007, No. 5, Pages 809–835 S 1061-00220700975-2 Article electronically published on August 10, 2007…
Quantum topology from symplectic geometry Vivek Shende March 11 2019 Knots Knots Mathematically speaking a knot is an embedding of a circle into three dimensional space f…
SUBLINEARLY MORSE BOUNDARY II: PROPER GEODESIC SPACES YULAN QING, KASRA RAFI, AND GIULIO TIOZZO Abstract. We build an analogue of the Gromov boundary for any proper geodesic
ar X iv :0 70 7 42 10 v1 m at h G T 2 8 Ju l 2 00 7 Sampling Lissajous and Fourier Knots Adam Boocher∗ University of Notre Dame Jay Daigle∗ Pomona College Jim Hoste∗…
Abstract. Hyperlogarithms are iterated integrals with singularities in a finite set Σ ⊂ P1(C), and generalise the classical polylogarithms. We define a universal
ar X iv :m at h 06 12 80 3v 1 m at h. G T 2 8 D ec 2 00 6 POLYNOMIAL KNOTS ALAN DURFEE AND DONAL O’SHEA Abstract. A polynomial knot is a smooth embedding κ : R→ Rn whose…
Morse Theory for Lagrange Multipliers γ=0 grad γ grad f Guangbo Xu Princeton University and Steve Schecter North Carolina State University 1 2 3 Outline (1) History of…
Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in the Hermite settingIN THE HERMITE SETTING University of La Laguna 17-19th
Generalized Thue-Morse Sequences of Squares Michael Drmota and Johannes F Morgenbesser∗ August 25 2010 Abstract We consider compact group generalizations T n of the Thue-Morse…
Dynamical Morse entropy Mélanie Bertelson∗∗ Misha Gromov† April 30 2010 ∗ Département de Mathématiques UCL 2 Chemin du Cyclotron 1348 Louvain-la-Neuve Belgique…
Factorability Discrete Morse Theory and a Reformulation of Kπ 1-conjecture DISSERTATION zur Erlangung des Doktorgrades Dr rer nat der Mathematisch-Naturwissenschaftlichen…