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Homology

What is wrong with periodic cyclic homology?

Introduction The two basic kinds of homology theories for algebras that are considered in non-commutative geometry are K -theory and cyclic .

Geometric homology versus group homology

(September 14,2005) Geometric homology versus group homology Paul Garrettgarrett@math.umn.eduhttp: =/www.math.umn.edu/~garrett/ The goal here is to recov era family of assertions of the form H (nX) H () where the left-hand side is singular cohomology of atopological spacen Xobtainedasa quotient ...

Defining Vision: What Homology Thinking Contributes

To appear in Biology and Philosophy 22 (5) © Springer Defining Vision: What Homology Thinking Contributes Mohan Matthen Institute for the History and Philosophy of Science and Technology, University of Toronto, 91 Charles St. W., Toronto ON M5S 1K7, Canada Email: mohan.matthen@utoronto.ca ...

arXiv:math.AG/0606593 v1 23 Jun 2006

arXiv:math.AG/0606593 v1 23 Jun 2006 GLOBAL HOCHSCHILD (CO-)HOMOLOGY OF SINGULAR SPACES RAGNAR-OLAF BUCHWEITZ AND HUBERT FLENNER Abstract. We introduce Hochschild (co-)homology of morphisms of schemes

Persistent Homology?

WHA TIS... Persistent Homology? Shmuel Weinberger In memory of my friend, Partha Niyogi (1967-2010) Consider the art of Seuratorapieceof old newsprint.

Homology modeling and structure prediction of thioredoxin ...

RESEARCH PAPER International Journal of Biosciences (IJB ) ISSN: 2220-6655 (Print) Vol. 1, No. 1, p. 20-32, 2011 http://www.innspub.net Homology modeling and structure prediction of thioredoxin (TRX) protein in wheat ( Triticum aestivum L. ) M. Prabhavathi 1, K. Ashokkumar 2*, N. Geetha 1, K.M ...

Computing Persistent Homology

Computing Persistent Homology Afra Zomorodia n †and Gunnar Carlsson ‡ (Discrete and Computational Geometry) Abstract We show that the persistent homology of afilteredd-dimensional simplicial complex is simply the standard homol-ogyofaparticular graded module over a polynomial ring.

A Scalable Parallel Algorithm for Large-Scale Protein ...

A scalable parallel algorithm for large-scale protein sequence homology detection A Scalable Parallel Algorithm for Large-Scale Protein Sequence Homology Detection

THREE EXAMPLES OF APPLIED& COMPUTATIONAL HOMOLOGY

THREE EXAMPLES OF APPLIED& COMPUTATIONAL HOMOLOGY Robert Ghrist 1 Algebraic Topology as Applied Mathe-matics? Mathematics is limitless in its dual capacity for abstraction and incarnation.

Homology and the Origin of Correspondence

Homology and the Origin of Correspondence INGOBRIGANDT Department of History and Philosophy of Science University of Pittsburgh 1017 Cathedral of Learning Pittsburgh, PA 15260 USA E-mail: inb1@pitt.edu June3,2001 (revised version) Abstract.