Two papers which changed my life: Mil nor's seminal work on flat manifolds and bundles

2014 ◽  
Keyword(s):  
Fundamental Group ◽  
Characteristic Classes ◽  
Fundamental Groups ◽  
Seminal Work ◽  
Affine Manifolds ◽  
Recent Developments ◽  
Auslander Conjecture ◽  
History Of ◽  
Flat Manifolds ◽  
Curvature Zero

This chapter surveys developments arising from John Milnor's 1958 paper, “On the existence of a connection with curvature zero” and his 1977 paper, “On fundamental groups of complete affinely flat manifolds.” The former deeply influenced the theory of characteristic classes of flat bundles, and the latter clarified the theory of affine manifolds, setting the stage for its future flourishing. This chapter begins with some reminiscences on Milnor. It then describes the history of the Milnor–Wood inequality and the Auslander Conjecture and then proceeds to more recent developments, including a description of Margulis space-times, a startling example of an affine three-manifold with free fundamental group.

scholarly journals Profinite genus of the fundamental groups of compact flat manifolds with holonomy group of prime order

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Genildo de Jesus Nery
Keyword(s):  
Fundamental Group ◽  
Prime Order ◽  
Isomorphism Class ◽  
Holonomy Group ◽  
Fundamental Groups ◽  
Flat Manifold ◽  
Profinite Completion ◽  
Compact Flat Manifolds ◽  
Flat Manifolds

Abstract In this article, we calculate the profinite genus of the fundamental group of an 𝑛-dimensional compact flat manifold 𝑋 with holonomy group of prime order. As consequence, we prove that if n ⩽ 21 n\leqslant 21 , then 𝑋 is determined among all 𝑛-dimensional compact flat manifolds by the profinite completion of its fundamental group. Furthermore, we characterize the isomorphism class of the profinite completion of the fundamental group of 𝑋 in terms of the representation genus of its holonomy group.

Filling words in fundamental groups of Riemann surfaces

2013 ◽  
Vol 50 (1) ◽  
pp. 31-50
Author(s):  
C. Zhang
Keyword(s):  
Riemann Surface ◽  
Fundamental Group ◽  
Riemann Surfaces ◽  
Fundamental Groups ◽  
Closed Geodesics ◽  
New Words

The purpose of this article is to utilize some exiting words in the fundamental group of a Riemann surface to acquire new words that are represented by filling closed geodesics.

scholarly journals The Past, Present and Future of Cannabis sativa Tissue Culture

Plants ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 185
Author(s):  
Adrian S. Monthony ◽  
Serena R. Page ◽  
Mohsen Hesami ◽  
Andrew Maxwell P. Jones
Keyword(s):  
Tissue Culture ◽  
Disease Virus ◽  
Cannabis Sativa ◽  
Clonal Plants ◽  
Future Directions ◽  
The Past ◽  
Recent Developments ◽  
History Of ◽  
Drug Type

The recent legalization of Cannabis sativa L. in many regions has revealed a need for effective propagation and biotechnologies for the species. Micropropagation affords researchers and producers methods to rapidly propagate insect-/disease-/virus-free clonal plants and store germplasm and forms the basis for other biotechnologies. Despite this need, research in the area is limited due to the long history of prohibitions and restrictions. Existing literature has multiple limitations: many publications use hemp as a proxy for drug-type Cannabis when it is well established that there is significant genotype specificity; studies using drug-type cultivars are predominantly optimized using a single cultivar; most protocols have not been replicated by independent groups, and some attempts demonstrate a lack of reproducibility across genotypes. Due to culture decline and other problems, the multiplication phase of micropropagation (Stage 2) has not been fully developed in many reports. This review will provide a brief background on the history and botany of Cannabis as well as a comprehensive and critical summary of Cannabis tissue culture. Special attention will be paid to current challenges faced by researchers, the limitations of existing Cannabis micropropagation studies, and recent developments and future directions of Cannabis tissue culture technologies.

Transforming Historical Objectivism into Historical Hermeneutics: From “Historical Illness” to Properly Lived Historicality

2019 ◽  
Vol 61 (4) ◽  
pp. 490-515
Author(s):  
Thomas Tops
Keyword(s):  
Reception History ◽  
Biblical Studies ◽  
Historical Study ◽  
Necessary Condition ◽  
New Paradigm ◽  
History Of Interpretation ◽  
Critical Methodology ◽  
Recent Developments ◽  
History Of ◽  
Biblical Texts

Summary The present study analyses recent criticisms against the use of modern-historical methodologies in Biblical Studies. These methodologies abstract from the historical horizon of the researcher. In order to relate properly to the historicality of the researcher, historical objectivism needs to be transformed into historical hermeneutics. Recent developments in the historical methodology of biblical scholars are unable to reckon with the historicality of the researcher due to the partial or incorrect implementation of Gadamer’s views on reception history. I analyse the views of Nietzsche, Kierkegaard, and Gadamer on historicality and contend that the study of reception history is a necessary condition for conducting historical study from within the limits of our historicality. Reception history should not be a distinct methodological step to study the “Nachleben” of biblical texts, but needs to clarify how the understanding of these texts is already effected by their history of interpretation. The awareness of the presuppositions that have guided previous interpretations of biblical texts enables us to be confronted by their alterity. This confrontation calls for a synthesis between reception-historical and historical-critical methodology that introduces a new paradigm for conducting historical study in Biblical Studies in dialogue with other theological disciplines.

Why Diamonds Really are a Girl's Best Friend: Another American Narrative

Daedalus ◽  
2012 ◽  
Vol 141 (1) ◽  
pp. 89-100
Author(s):  
Linda K. Kerber
Keyword(s):  
The United States ◽  
Cultural Practice ◽  
Legal Tradition ◽  
Domestic Relations ◽  
Recent Developments ◽  
American Law ◽  
History Of ◽  
The Republic ◽  
1960S And 1970S ◽  
The 1960S

The old law of domestic relations and the system known as coverture have shaped marriage practices in the United States and have limited women's membership in the constitutional community. This system of law predates the Revolution, but it lingers in U.S. legal tradition even today. After describing coverture and the old law of domestic relations, this essay considers how the received narrative of women's place in U.S. history often obscures the story of women's and men's efforts to overthrow this oppressive regime, and also the story of the continuing efforts of men and some women to stabilize and protect it. The essay also questions the paradoxes built into American law: for example, how do we reconcile the strictures of coverture with the founders' care in defining rights-holders as “persons” rather than “men”? Citing a number of court cases from the early days of the republic to the present, the essay describes the 1960s and 1970s shift in legal interpretation of women's rights and obligations. However, recent developments – in abortion laws, for example – invite inquiry as to how full the change is that we have accomplished. The history of coverture and the way it affects legal, political, and cultural practice today is another American narrative that needs to be better understood.

Collaborative Research Funding

2014 ◽  
Vol 36 (4) ◽  
Author(s):  
Markus Behnke ◽  
Laura McConnell ◽  
Chris Ober
Keyword(s):  
International Collaboration ◽  
Research Funding ◽  
International Committee ◽  
Research Projects ◽  
Scientific Success ◽  
Funding Sources ◽  
Chemistry Research ◽  
National Organizations ◽  
Recent Developments ◽  
History Of

Within a changing research world, international collaboration has become even more important in achieving scientific success. Given the increased need and desire for multinational research, the actors are forced to identify appropriate funding sources. Whereas, science knows no international boundaries, support for scientific research, including in chemical sciences, is mostly provided by the national funding organizations. This is particularly true for the chemical sciences, where most research projects are relatively small in size and with respect to the number of involved PIs. Traditionally, national organizations are reluctant to provide funds to non-domestic researchers, and in practice, funding truly international research projects can be a real challenge for a variety of technical and bureaucratic reasons. In an effort to change this, an international Committee on Chemistry Research Funding (CCRF)—backed by several leading funding organizations—was established by IUPAC in December 2007 to promote increased international collaboration and networking in the global chemistry community. The following report gives a short overview on the history of IUPAC’s involvement in service for chemistry research funding and on the most recent developments.

scholarly journals A Review: Electrospinning and Electrospinning Nanofibre Technology, Process & Application

2020 ◽  
Vol 5 (6) ◽  
pp. 528-538
Author(s):  
Somesh S. Bhagure ◽  
Dr. Adarsh R. Rao
Keyword(s):  
Electronic Devices ◽  
Early History ◽  
Comprehensive Overview ◽  
Thin Fiber ◽  
Filtration Membranes ◽  
Technology Process ◽  
Recent Developments ◽  
History Of ◽  
Catalytic Supports ◽  
Remarkable Progress

Electrospinning is a versatile and viable technique for ultra-thin fiber generation. Remarkable progress has been made with regard to the development of Electrospinning methods and the engineering of Electrospinning Nanofibre to suit or enable different applications. We aim to provide a comprehensive overview of Electrospinning, including principles, methods, materials and applications. We begin with a brief introduction to the early history of Electrospinning, followed by a discussion of its principle and its typical apparatus. Subsequently, we discuss the applications of electrospun Nanofibre, including their use as smart mattresses, filtration membranes, catalytic supports, energy harvesting / conversion / storage components, and photonic and electronic devices, as well as biomedical scaffolds. We highlight the most relevant and recent developments in the application of electrospun Nanofibre by focusing on the most representative examples.

scholarly journals Computing the fundamental group of a higher-rank graph

2021 ◽  
pp. 1-12
Author(s):  
Sooran Kang ◽  
David Pask ◽  
Samuel B.G. Webster
Keyword(s):  
Fundamental Group ◽  
Homology Group ◽  
Klein Bottle ◽  
Fundamental Groups ◽  
The Third ◽  
Higher Rank ◽  
The One ◽  
Standard Presentation

Abstract We compute a presentation of the fundamental group of a higher-rank graph using a coloured graph description of higher-rank graphs developed by the third author. We compute the fundamental groups of several examples from the literature. Our results fit naturally into the suite of known geometrical results about higher-rank graphs when we show that the abelianization of the fundamental group is the homology group. We end with a calculation which gives a non-standard presentation of the fundamental group of the Klein bottle to the one normally found in the literature.

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