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Recent Progress on the Donaldson–Thomas Theory
This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories, wall-crossing in derived categories with respect to Bridgeland stability conditions, BPS state counting in string theory, and others. Recently, a deeper structure of the moduli spaces of coherent sheaves on Calabi–Yau 3-folds was found through derived algebraic geometry. These moduli spaces ...
A Theory of Generalized Donaldson-Thomas Invariants
This book studies generalized Donaldson-Thomas invariants $\bar{DT}{}^\alpha(\tau)$. They are rational numbers which `count' both $\tau$-stable and $\tau$-semistable coherent sheaves with Chern character $\alpha$ on $X$; strictly $\tau$-semistable sheaves must be counted with complicated rational weights. The $\bar{DT}{}^\alpha(\tau)$ are defined for all classes $\alpha$, and are equal to $DT^\alpha(\tau)$ when it is defined. They are unchanged under deformations of $X$, and transform by a wall-crossing formula under change of stability condition $\tau$. To prove all this, the authors study the local structure of the moduli stack $\mathfrak M$ of coherent sheaves on $X$. They show that an at...
Tantra and Śākta Art of Orissa
The author presents a rich and variegated picture of the sakta/ tantra art of Orissa, highlighting the evolving iconography of individual images. He focuses on different forms and depictions of the goddess as Sakti, painstakingly analyzing the architecture of a number of temples and their images.
Reading Śiva
An extensive, illustrated bibliography for the Hindu god Śiva in the arts of South and Southeast Asia, offering detailed indices and easy access to resource repositories.
The Ethics of International Business
When standards for pollution, discrimination, and salary schedules are lower in an offshore host country than they are in the home country, should multinational corporations insist on home country standards? Would using home standards imply a failure to respect cultural diversity and national integrity? What obligations, if any, do multinationals have to the people they affect indirectly? In this study, business ethicist Thomas Donaldson offers three concepts for interpreting international business ethics: a social contract between productive organizations and society, the notion of a fundamental international right, promulgated by ten specific international rights, and a moral "algorithm" to help multinational managers make tradeoffs between conflicting norms in home and host countries. He then employs these concepts in the analysis of specific problems such as the distribution of hazardous technology and South African divestment. A timely and important text for courses in international business or business ethics.
