## Sasakian Geometry

*Charles Boyer and Krzysztof Galicki*

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.001.0001
- Subject:
- Mathematics, Geometry / Topology

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially when the Kähler structure is that of an ... More

## Structures on Manifolds

*Charles P. Boyer and Krzysztof Galicki*

### in Sasakian Geometry

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.003.0002
- Subject:
- Mathematics, Geometry / Topology

This chapter begins by introducing various geometries that play important roles in the way they relate to Sasakian structures. It espouses the point of view that a geometric structure is best ... More

## Kähler Manifolds

*Charles P. Boyer and Krzysztof Galicki*

### in Sasakian Geometry

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.003.0004
- Subject:
- Mathematics, Geometry / Topology

This chapter reviews some basic facts about Kähler manifolds with special emphasis on projective algebraic varieties. All standard material is covered: complex structures, curvature properties, Hodge ... More

## The Human Prefrontal Cortex Stores Structured Event Complexes

*Frank Krueger and Jordan Grafman*

### in Understanding Events: From Perception to Action

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780195188370
- eISBN:
- 9780199870462
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195188370.003.0025
- Subject:
- Psychology, Cognitive Neuroscience

Event sequence knowledge is necessary for learning, planning, and performing activities of daily living. Clinical observations suggest that the prefrontal cortex (PFC) is crucial for goal-directed ... More

## Hodge Structures with Complex Multiplication

*Mark Green, Phillip Griffiths, and Matt Kerr*

### in Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691154244
- eISBN:
- 9781400842735
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691154244.003.0006
- Subject:
- Mathematics, Analysis

This chapter describes Hodge structures with a high degree of symmetry, and specifically complex multiplication Hodge structures or CM Hodge structures. It broadens the notion of CM type by defining ... More

## Classification of Mumford-Tate Subdomains

*Mark Green, Phillip Griffiths, and Matt Kerr*

### in Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691154244
- eISBN:
- 9781400842735
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691154244.003.0008
- Subject:
- Mathematics, Analysis

This chapter develops an algorithm for determining all Mumford-Tate subdomains of a given period domain. The result is applied to the classification of all complex multiplication Hodge structures (CM ... More

## Arithmetic of Period Maps of Geometric Origin

*Mark Green, Phillip Griffiths, and Matt Kerr*

### in Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691154244
- eISBN:
- 9781400842735
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691154244.003.0009
- Subject:
- Mathematics, Analysis

This chapter considers some arithmetic aspects of period maps with a geometric origin. It focuses on the situation Φ : S(ℂ) → Γ\D, where S parametrizes a family X → S of smooth, projective ... More

## Conclusions

*Alwyn Lishman*

### in Patient Participation in Palliative Care: A voice for the voiceless

- Published in print:
- 2003
- Published Online:
- November 2011
- ISBN:
- 9780198515814
- eISBN:
- 9780191730498
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198515814.003.0014
- Subject:
- Palliative Care, Patient Care and End-of-Life Decision Making, Palliative Medicine Research

This concluding chapter discusses the personal experience of the author in dealing with palliative care and the concept of the user's voice, which is widely welcomed in seeking to refine the way ... More

## Executive Functions

*Jordan Grafman*

### in Neuroergonomics: The brain at work

- Published in print:
- 2006
- Published Online:
- May 2009
- ISBN:
- 9780195177619
- eISBN:
- 9780199864683
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195177619.003.0011
- Subject:
- Neuroscience, Sensory and Motor Systems, Behavioral Neuroscience

This chapter shows that key higher-level cognitive functions known as the executive functions are strongly associated with the human prefrontal cortex (HPFC). It argues that an important way to ... More

## Solution of flexible molecular structures by simulated annealing

*Peter G. Bruce and Yuri G. Andreev*

### in Structure Determination from Powder Diffraction Data

- Published in print:
- 2006
- Published Online:
- January 2010
- ISBN:
- 9780199205530
- eISBN:
- 9780191718076
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199205530.003.0016
- Subject:
- Physics, Condensed Matter Physics / Materials

The chapter describes a simulated annealing approach to solving highly flexible molecular crystal structures. Particular attention is paid to the description of the models whose position, ... More

## Architecture of Counterfactual Thought in the Prefrontal Cortex

*Aron K. Barbey, Frank Krueger, and Jordan Grafman*

### in Predictions in the Brain: Using Our Past to Generate a Future

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780195395518
- eISBN:
- 9780199897230
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195395518.003.0018
- Subject:
- Psychology, Cognitive Psychology, Cognitive Neuroscience

This chapter develops an integrative cognitive neuroscience framework for understanding counterfactual reasoning on the basis of structured event complexes (SECs) in the human prefrontal cortex ... More

## Almost complex structures

*Dusa McDuff and Dietmar Salamon*

### in Introduction to Symplectic Topology

- Published in print:
- 2017
- Published Online:
- June 2017
- ISBN:
- 9780198794899
- eISBN:
- 9780191836411
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198794899.003.0005
- Subject:
- Mathematics, Analysis, Geometry / Topology

The chapter begins with a general discussion of almost complex structures on symplectic manifolds and then addresses the problem of integrability. Subsequent sections discuss a variety of examples of ... More

## Generalized Kähler Metrics from Hamiltonian Deformations

*Marco Gualtieri*

### in Geometry and Physics: Volume II: A Festschrift in honour of Nigel Hitchin

- Published in print:
- 2018
- Published Online:
- December 2018
- ISBN:
- 9780198802020
- eISBN:
- 9780191869068
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198802020.003.0023
- Subject:
- Mathematics, Geometry / Topology

This chapter provides a new characterization of generalized Kähler structures in terms of the corresponding complex Dirac structures. It then gives an alternative proof of Hitchin’s partial ... More

## Natural Complexity: A Modeling Handbook

*Paul Charbonneau*

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176840
- eISBN:
- 9781400885497
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176840.001.0001
- Subject:
- Computer Science, Programming Languages

This book provides a short, hands-on introduction to the science of complexity using simple computational models of natural complex systems—with models and exercises drawn from physics, chemistry, ... More

## Moduli and deformations

*Simon Donaldson*

### in Riemann Surfaces

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780198526391
- eISBN:
- 9780191774874
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526391.003.0013
- Subject:
- Mathematics, Geometry / Topology, Analysis

This chapter first examines almost-complex structures, Beltrami differentials, and the integrability theorem. It then discusses deformations and cohomology.

## Review

*Tim Lenton and Andrew Watson*

### in Revolutions that made the Earth

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780199587049
- eISBN:
- 9780191775031
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199587049.003.0020
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics

This chapter endeavours to review the similarities between what is happening now and the past revolutions. There are several common features to the great revolutions that have made the present Earth. ... More

## Bleibt Alles Anders: Modeling Invention

*Markus Eberl*

### in War Owl Falling: Innovation, Creativity, and Culture Change in Ancient Maya Society

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780813056555
- eISBN:
- 9780813053486
- Item type:
- chapter

- Publisher:
- University Press of Florida
- DOI:
- 10.5744/florida/9780813056555.003.0004
- Subject:
- History, Cultural History

Unlike earlier conceptions of society as homogeneous, modern models emphasize its factious nature. Correspondingly, it cannot be reduced to a structure; instead, it contains multiple, coexisting, and ... More

## Transformations to multiaged stand structures

*Kevin L. O’Hara*

### in Multiaged Silviculture: Managing for Complex Forest Stand Structures

- Published in print:
- 2014
- Published Online:
- October 2014
- ISBN:
- 9780198703068
- eISBN:
- 9780191788796
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198703068.003.0010
- Subject:
- Biology, Plant Sciences and Forestry

There is a growing, international interest in transforming even-aged to multiaged stands. There are many possible pathways for transformation or conversion of stands, and many different possible ... More

## Classification of Boundary Lefschetz Fibrations over the Disc

*Stefan Behrens, Gil R. Cavalcanti, and Ralph L. Klaasse*

### in Geometry and Physics: Volume II: A Festschrift in honour of Nigel Hitchin

- Published in print:
- 2018
- Published Online:
- December 2018
- ISBN:
- 9780198802020
- eISBN:
- 9780191869068
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198802020.003.0015
- Subject:
- Mathematics, Geometry / Topology

This chapter shows that a 4-manifold admits a boundary Lefschetz fibration over the disc if and only if it is diffeomorphic to S1×S3#nCP¯2,#mCP2#nCP¯2 or #m(S2×S2). Given the relation between ... More

## Aggregation

*Paul Charbonneau*

### in Natural Complexity: A Modeling Handbook

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176840
- eISBN:
- 9781400885497
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176840.003.0003
- Subject:
- Computer Science, Programming Languages

This chapter explores how naturally occurring inanimate structures grow by accretion of smaller-sized components, focusing on one specific accretion process: diffusion-limited aggregation (DLA). In ... More