1.

Record Nr.

UNISA996466554803316

Autore

Toda Yukinobu

Titolo

Recent progress on the Donaldson-Thomas theory : wall-crossing and refined invariants / / Yukinobu Toda

Pubbl/distr/stampa

Singapore : , : Springer, , [2021]

©2021

ISBN

981-16-7838-3

Descrizione fisica

1 online resource (110 pages)

Collana

SpringerBriefs in Mathematical Physics

Disciplina

512.55

Soggetti

Algebra, Homological

Algebra - Study and teaching

Invariants

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Intro -- Preface -- Contents -- 1 Donaldson-Thomas Invariants on Calabi-Yau 3-Folds -- 1.1 Moduli Spaces of Semistable Sheaves on Algebraic Varieties -- 1.2 Deformation-Obstruction Theory -- 1.3 Donaldson-Thomas Invariants -- 1.4 DT Invariants via Behrend Functions -- 1.5 Rank One DT Invariants -- 2 Generalized Donaldson-Thomas Invariants -- 2.1 An Idea for Generalized DT Theory -- 2.2 Motivic Hall Algebras -- 2.3 Poisson Algebra Homomorphism -- 2.4 Definition of Generalized DT Invariants -- 2.5 Joyce-Song Pair Invariants -- 3 Donaldson-Thomas Invariants for Quivers with Super-Potentials -- 3.1 Introduction to Quivers with Super-Potentials -- 3.2 Moduli Spaces of Representations of Quivers -- 3.3 DT Invariants for Quivers with Super-Potentials -- 3.4 Non-commutative DT Invariants on Resolved Conifold -- 3.5 Analytic Neighborhood Theorem -- 4 Donaldson-Thomas Invariants for Bridgeland Semistable Objects -- 4.1 Definition of Bridgeland Stability Conditions -- 4.2 The Space of Bridgeland Stability Conditions -- 4.3 Constructions of Bridgeland Stability Conditions -- 4.4 Bogomolov-Gieseker-type Inequality -- 4.5 Moduli Spaces of Bridgeland Semistable Objects -- 4.6 DT-type Invariants for Bridgeland Semistable Objects -- 5 Wall-Crossing



Formulas of Donaldson-Thomas Invariants -- 5.1 An Idea of Wall-Crossing and Applications -- 5.2 General Principle of Wall-Crossing Formulas -- 5.3 DT/PT Correspondence -- 5.4 Rationality of PT Generating Series -- 5.5 Flop Formula of DT Invariants -- 5.6 Jacobi Property for Elliptic CY 3-Folds -- 5.7 PT Invariants for Local K3 Surfaces -- 5.8 Other Applications -- 6 Cohomological Donaldson-Thomas Invariants -- 6.1 Vanishing Cycle Sheaves -- 6.2 D-critical Loci -- 6.3 Gluing of Vanishing Cycle Sheaves -- 6.4 Cohomological DT Invariants -- 6.5 Dual Obstruction Cone.

6.6 PBW Theorem for Cohomological DT Theory of Quivers with Super-Potentials -- 7 Gopakumar-Vafa Invariants -- 7.1 GW/PT/GV Correspondence Conjecture -- 7.2 Moduli Spaces of One-Dimensional Stable Sheaves -- 7.3 Gopakumar-Vafa Invariants via Vanishing Cycles -- 7.4 PT/GV Correspondence for Local Surfaces -- 8 Some Future Directions -- 8.1 Categorical Donaldson-Thomas Invariants -- 8.2 Donaldson-Thomas Invariants on Calabi-Yau 4-Folds -- 8.3 Cohomological/categorical Hall Algebras -- Appendix  References --  -- Index.

2.

Record Nr.

UNINA9910959620203321

Autore

Dufault-Hunter Erin Elizabeth <1963->

Titolo

The transformative power of faith : a narrative approach to conversion / / Erin Elizabeth Dufault-Hunter

Pubbl/distr/stampa

Lanham, : Lexington Books, c2012

ISBN

979-82-16-21676-6

1-280-77900-4

9786613689399

0-7391-7553-X

Descrizione fisica

1 online resource (218 p.)

Disciplina

204/.2

Soggetti

Conversion

Conversion - Psychology

Psychology, Religious

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.



Nota di contenuto

Need for an alternative theory of conversion -- A constructive overview of theories regarding religious conversion -- Story and the making of the self -- Reading conversion through a narrative lens -- Hermeneutics and the ethical implications of a narrative approach to conversion -- Appendix A : Original research project, its methodology, and goals -- Appendix B : Interview form for conversion narratives research project.

Sommario/riassunto

This book argues that thick, embodied faith uniquely sustains moral transformation among those whom society deems "hopeless." It insists that by applying a narrative lens to religious conversion, we can better understand the dynamics of personal transformation in ways that make sense of psychological and social factors without ignoring so-called "spiritual" ones. It also helps us comprehend why religion often refuses to remain tamed or contained in the personal or private sphere many Americans wish.