By Anthony Giaquinto (auth.), Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu (eds.)
This booklet is based round larger algebraic buildings stemming from the paintings of Murray Gerstenhaber and Jim Stasheff which are now ubiquitous in a variety of components of arithmetic— comparable to algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics reminiscent of quantum box conception and string concept. those better algebraic buildings offer a typical language crucial within the examine of deformation quantization, thought of algebroids and groupoids, symplectic box idea, and masses extra. the information of upper homotopies and algebraic deformation have more and more theoretical functions and feature performed a widespread function in fresh mathematical advances. for instance, algebraic models of upper homotopies have led finally to the facts of the formality conjecture and the deformation quantization of Poisson manifolds. As saw in deformations and deformation philosophy, a easy statement is that better homotopy constructions behave far better than strict buildings.
Each contribution during this quantity expands at the principles of Gerstenhaber and Stasheff. Higher buildings in Geometry and Physics is meant for post-graduate scholars, mathematical and theoretical physicists, and mathematicians drawn to larger constructions.
Contributors: L. Breen, A.S. Cattaneo, M. Cahen, V.A. Dolgushev, G. Felder, A. Giaquinto, S. Gutt, J. Huebschmann, T. Kadeishvili, H. Kajiura, B. Keller, Y. Kosmann-Schwarzbach, J.-L. Loday, S.A. Merkulov, D. Sternheimer, D.E. Tamarkin, C. Torossian, B.L. Tsygan, S. Waldmann, R.N. Umble.
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Additional resources for Higher Structures in Geometry and Physics: In Honor of Murray Gerstenhaber and Jim Stasheff
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