scholarly journals M-BRANE MODELS AND LOOP SPACES

2012 ◽  
Vol 27 (20) ◽  
pp. 1230019 ◽  
Author(s):  
CHRISTIAN SÄMANN
Keyword(s):  
Loop Space ◽  
The Self ◽  
String Equation ◽  
Loop Spaces ◽  
Brane Model ◽  
Recent Developments ◽  
Brane Models ◽  
Space Approach

I review an extension of the ADHMN construction of monopoles to M-brane models. This extended construction gives a map from solutions to the Basu–Harvey equation to solutions to the self-dual string equation transgressed to loop space. Loop spaces appear in fact quite naturally in M-brane models. This is demonstrated by translating a recently proposed M5-brane model to loop space. Finally, I comment on some recent developments related to the loop space approach to M-brane models.

scholarly journals RATIONAL LOCAL SYSTEMS AND CONNECTED FINITE LOOP SPACES

2021 ◽  
pp. 1-29
Author(s):  
DREW HEARD
Keyword(s):  
Lie Group ◽  
Loop Space ◽  
Algebraic Model ◽  
Compact Lie Group ◽  
Loop Spaces ◽  
Local Systems ◽  
Special Case ◽  
Finite Loop ◽  
Finite Loop Space

Abstract Greenlees has conjectured that the rational stable equivariant homotopy category of a compact Lie group always has an algebraic model. Based on this idea, we show that the category of rational local systems on a connected finite loop space always has a simple algebraic model. When the loop space arises from a connected compact Lie group, this recovers a special case of a result of Pol and Williamson about rational cofree G-spectra. More generally, we show that if K is a closed subgroup of a compact Lie group G such that the Weyl group W G K is connected, then a certain category of rational G-spectra “at K” has an algebraic model. For example, when K is the trivial group, this is just the category of rational cofree G-spectra, and this recovers the aforementioned result. Throughout, we pay careful attention to the role of torsion and complete categories.

The Sentimental Mask

PMLA ◽  
1963 ◽  
Vol 78 (5) ◽  
pp. 529-535 ◽  
Author(s):  
Paul E. Parnell
Keyword(s):  
The Self ◽  
Recent Developments ◽  
Adequate Definition ◽  
Restoration Comedy

Fifty years after the modern study of sentimentalism was inaugurated by Ernest Bernbaum, the problem remains whether the term has ever been satisfactorily defined or described. Two recent developments reveal some of the difficulties: Arthur Sherbo in The English Sentimental Drama takes five basic criteria considered by most authorities as typical, and shows that they may all apply to plays demonstrably not sentimental. John Harrington Smith, in the preface to The Gay Couple in Restoration Comedy (1948), announces that he has completely avoided the term “sentimental” as too vague to be of much value. Yet Ronald Crane, writing fourteen years before, assumed the essential traits of sentimentalism to be fairly clear, and Norman Holland has implied that two criteria borrowed from Bernbaum and Krutch still supply an adequate definition. There is not even agreement whether sentimentality is a positive or negative quality. Krutch and Sherbo feel that it is false and dishonest, therefore bad. Crane concedes that it is somewhat limited intellectually, but emphasizes its humanitarianism and emotional warmth, especially the “self-approving joy” that makes virtue satisfying. Bernbaum vacillates between sympathy and contempt.

Decomposable Free Loop Spaces

1987 ◽  
Vol 39 (4) ◽  
pp. 938-955 ◽  
Author(s):  
J. Aguadé
Keyword(s):  
Topological Group ◽  
Loop Space ◽  
Base Point ◽  
Point Of View ◽  
Homotopy Equivalence ◽  
Compact Open Topology ◽  
Loop Spaces ◽  
Continuous Maps

In this paper we study the spaces X having the property that the space of free loops on X is equivalent in some sense to the product of X by the space of based loops on X. We denote by ΛX the space of all continuous maps from S1 to X, with the compact-open topology. ΩX denotes, as usual, the loop space of X, i.e., the subspace of ΛX formed by the maps from S1 to X which map 1 to the base point of X.If G is a topological group then every loop on G can be translated to the base point of G and the space of free loops ΛG is homeomorphic to G × ΩG. More generally, any H-space has this property up to homotopy. Our purpose is to study from a homotopy point of view the spaces X for which there is a homotopy equivalence between ΛX and X × ΩX which is compatible with the inclusion ΩX ⊂ ΛX and the evaluation map ΛX → X.

On the quotients of mapping class groups of surfaces by the Johnson subgroups

2019 ◽  
pp. 1-23
Author(s):  
TOMÁŠ ZEMAN
Keyword(s):  
Boundary Component ◽  
Loop Space ◽  
Mapping Class Groups ◽  
Mapping Class ◽  
Classifying Spaces ◽  
Class Groups ◽  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop ◽  
Plus Construction

Abstract We study quotients of mapping class groups ${\Gamma _{g,1}}$ of oriented surfaces with one boundary component by the subgroups ${{\cal I}_{g,1}}(k)$ in the Johnson filtrations, and we show that the stable classifying spaces ${\mathbb {Z}} \times B{({\Gamma _\infty }/{{\cal I}_\infty }(k))^ + }$ after plus-construction are infinite loop spaces, fitting into a tower of infinite loop space maps that interpolates between the infinite loop spaces ${\mathbb {Z}} \times B\Gamma _\infty ^ + $ and ${\mathbb {Z}} \times B{({\Gamma _\infty }/{{\cal I}_\infty }(1))^ + } \simeq {\mathbb {Z}} \times B{\rm{Sp}}{({\mathbb {Z}})^ + }$ . We also show that for each level k of the Johnson filtration, the homology of these quotients with suitable systems of twisted coefficients stabilises as the genus of the surface goes to infinity.

Voluntary Societies and British Urban Elites, 1780–1850: An Analysis

1983 ◽  
Vol 26 (1) ◽  
pp. 95-118 ◽  
Author(s):  
R. J. Morris
Keyword(s):  
Middle Class ◽  
The Self ◽  
Urban Populations ◽  
Urban Elites ◽  
Recent Developments

Whilst it would be wrong to claim that voluntary societies in Britain were new in the period 1780 to 1850, the growth of large industrial and urban populations was accompanied by an increase in the foundation and prosperity of such societies. These societies were diverse in their purpose, form, size and membership. Edward Baines, junior, one of the self-appointed tribunes of the industrial middle class, in 1843 described recent developments as follows:

On the Homotopy-Commutativity of Loop-Spaces and Suspensions

1968 ◽  
Vol 20 ◽  
pp. 1531-1536 ◽  
Author(s):  
C. S. Hoo
Keyword(s):  
Loop Space ◽  
Loop Spaces

Let X be a space. We are interested in the homotopy-commutativity of the loop-space ΩX and the suspension ΣX, that is, in the question whether or not nil X ≦ 1, conil X ≦ 1, respectively. Let c: ΩX× ΩX ⟶ ΩX, c': ΣX ⟶ ΣX V ΣX be the commutator and co-commutator maps, respectively.

scholarly journals On the geometry of free loop spaces

2002 ◽  
Vol 30 (1) ◽  
pp. 15-23 ◽  
Author(s):  
P. Manoharan
Keyword(s):  
Fundamental Form ◽  
Open Subset ◽  
Loop Space ◽  
Free Loop Space ◽  
Loop Spaces ◽  
Central Extensions ◽  
Christoffel Symbols

We verify the following three basic results on the free loop spaceLM. (1) We show that the set of all points, where the fundamental form onLMis nondegenerate, is an open subset. (2) The connections of a Fréchet bundle overLMcan be extended toS1-central extensions and, in particular, there exist natural connections on the string structures. (3) The notion of Christoffel symbols and the curvature are introduced onLMand they are described in terms of Christoffel symbols ofM.

The person as co‐investigator in self‐research: Valuation theory

1991 ◽  
Vol 5 (3) ◽  
pp. 217-234 ◽  
Author(s):  
Hubert J. M. Hermans
Keyword(s):  
Good Reason ◽  
The Self ◽  
Valuation Theory ◽  
Dynamic Phenomenon ◽  
Personality Psychology ◽  
Constructivist View ◽  
Recent Developments ◽  
The Subject ◽  
Over Time ◽  
Research Show

Recent developments in self‐research show the self to be increasingly conceived as an organized and highly dynamic phenomenon. In combination with the arguments presented in the preceding article, these developments are a good reason for adopting a method in which the psychologist and the subject work together in the study of the self: The self‐confrontation method and the theory on which it is based—valuation theory—are presented as an example of such an approach. This method construes the self as an organized process of valuations, a valuation being any unit of meaning that the person finds of importance in thinking about his or her life. Formulated in the language of the person him‐ or herself; these valuations and how they develop over time are considered in a dialogue between the psychologist and the subject. For the purposes of demonstration, two phenomena that are not easily observedare discussed here: (a) the existence of an imaginal figure not visibly present but functioning as a signifcant other in the person's daily life, and (b) the presence of a character in a recurring dream, which later gets included as an integral part of the self: Finally, the present approach is briefly discussed as representing a constructivist view of personality psychology.

RACK SPACES AND LOOP SPACES

1999 ◽  
Vol 08 (01) ◽  
pp. 99-114 ◽  
Author(s):  
Bert Wiest
Keyword(s):  
Homotopy Type ◽  
Loop Space ◽  
Topological Spaces ◽  
Loop Spaces

We prove that the rack and quandle spaces of links in 3-manifolds, considered only as topological spaces (disregarding their cubical structure), are closely related to certain subspaces of the loop spaces on the 3-manifold, which we call the vertical and the straight loop space of the link. Using these models we prove that the homotopy type of the non-augmented rack and quandle spaces of a link L in a 3-manifold M depends essentially only on the homotopy type of the pair (M,M -L).

Your Money and Your Life: Cash Transaction Reporting Legislation, Neo-Liberal Philosophy and the Governance of the Self

1994 ◽  
Vol 27 (2) ◽  
pp. 174-191 ◽  
Author(s):  
Rob McQueenf
Keyword(s):  
Financial Reporting ◽  
The Self ◽  
New Right ◽  
Recent Developments ◽  
Cash Transaction ◽  
Proceeds Of Crime ◽  
Liberal Philosophy ◽  
Entrepreneurial Activities ◽  
Financial Transactions ◽  
Analytical Frameworks

Opponents of enactments such as the Financial Transactions Reports Act 1988 (Cth) and Proceeds of Crime Act 1987 (Cth) have principally based their opposition on the basis that such legislation and the regimes which it supports represent a fundamental attack on traditional domains of ‘privacy’. This paper questions the validity of such small T critiques and suggests that such analyses may play into the hands of ‘New Right’ agendas, rather than acting contrary to them. The assumptions lying behind the introduction of financial transaction reporting (FTR) are examined in the context of a variety of ‘New Right’ analytical frameworks. In particular the paper examines FTR in light of the assumption that commercial actors should be ‘free’ of government intervention to pursue their entrepreneurial activities. In this and other respects it is asserted that FTR acts contrary to, rather than as component of, a New Right agenda. The paper also explores the applicability of the Foucauldian notion of ‘governmentality’ in respect to recent developments in financial reporting and monitoring. The manner in which FTR legislation has influenced the ‘conduct’ of commercial actors is examined in some depth. So too is the question of the potential limits (if any) to the encroachment by the state into the previously ‘private’ conduct of both those who operate and those who use the banking and financial system.

Sign in / Sign up

Export Citation Format

Share Document