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A GRAPH THEORETICAL POINCARÉ-HOPF THEOREM OLIVER KNILL Abstract We introduce the index iv = 1 − χS−v for critical points of a locally injective function f on the vertex…

A GRAPH THEORETICAL POINCARÉ-HOPF THEOREM OLIVER KNILL Abstract. We introduce the index i(v) = 1 − χ(S−(v)) for critical points of a locally injective function f on…

POINCARÉ HOPF FOR VECTOR FIELDS ON GRAPHS OLIVER KNILL Abstract. We generalize the Poincaré-Hopf theorem ∑ v iv = χG to vector fields on a finite simple graph Γ =…

Vector fields on surfaces Sasha Patotski Cornell University [email protected] December 19, 2014 Sasha Patotski (Cornell University) Vector fields on surfaces December 19,…

Modelo del Disco de Poincare Modelo del Disco de Poincare Presentado por: Andruss keissi lugo Cristian almario Definición El disco unitario ∆= {z ϵ C ||z|< 1} provisto…

COMBINATORIAL HOPF ALGEBRAS AND GENERALIZED DEHN-SOMMERVILLE RELATIONS MARCELO AGUIAR NANTEL BERGERON AND FRANK SOTTILE Abstract A combinatorial Hopf algebra is a graded…

7/29/2019 J.H. POINCARE. 1/1914.6.11J.H. POINCARE. O Jules Henri Poincar (1854 -1912), , , , . , . , . a priori, a posteriori . , . , , . , , . ' , .J.H. POINCARE. . , ,…

Όποιος μιλάει για απόλυτο χώρο χρησιμοποιεί μια λέξη κενή νοήματος. Είναι μια αλήθεια που έχει…

. . . . . . Lie-Hopf algebras and their Hopf cyclic cohomology Bahram Rangipour Texas AM University, College Station May 1, 2014 . . . . . . Local Index Formula in NCG Theorem…

Sonderdruck aus Henri Poincare Science et philosophie Science and Philosophy Wissenschaft und Philosophie Congres International • International Congress • Intemationaler…

Introduction Processes with meromorphic Ψz Numerical results Conclusion Wiener-Hopf factorization and distribution of extrema for a family of Lévy processes Alexey Kuznetsov…

I 2 ways for stable fixed point to lose stability: • 1 real eigenvalue passes through λ = 0 (zero-eigenvalue bifurcations), • 2 complex conjugate eigenvalues

YORK U N I V E R S I T E ——————— U N I V E R S I T Y Nantel Bergeron www.math.yorku.ca/bergeron Herstmonceux, England Jul 2016 Jul

POINCARÉ DUALITY GROUPS Michael W Davis §1 Introduction A space X is aspherical if πiX = 0 for all i 1 For a space of the homotopy type of a CW -complex this is equivalent…

Intro and main Background, Zinbiel, and ξ Hopf algebra, convolution ζh and examples Conclusion 1 Intro and main Background, Zinbiel, and ξ Hopf algebra, convolution ζh…

RATE Chaffin chapter 7.inddAccelerated Decay: Theoretical Considerations Eugene F. Chaffin, Ph.D.* Abstract. I discuss the possibility of variation of coupling constants

HOPF ALGEBRAS IN COMBINATORICS DARIJ GRINBERG AND VICTOR REINER Contents Introduction 2 1 What is a Hopf algebra 4 11 Algebras 4 12 Coalgebras 6 13 Morphisms tensor products…

Inverting the Hopf map Michael Andrews and Haynes Miller October 14, 2017 Abstract We calculate the η-localization of the motivic stable homotopy ring over C, confirming…

Hopf algebras and Homological Algebra Ken Brown University of Glasgow BIRS Workshop Banff Canada 10 Sept 2015 Ken Brown University of Glasgow BIRS Workshop Banff Canada Hom…