RAAGs in Ham
نویسنده
چکیده
We prove that every RAAG (Right Angled Artin Group) embeds in the group of Hamiltonian symplectomorphisms of every symplectic manifold.
منابع مشابه
Raag Recognition Using Pitch-Class and Pitch-Class Dyad Distributions
We describe the results of the first large-scale raag recognition experiment. Raags are the central structure of Indian classical music, each consisting of a unique set of complex melodic gestures. We construct a system to recognize raags based on pitch-class distributions (PCDs) and pitch-class dyad distributions (PCDDs) calculated directly from the audio signal. A large, diverse database cons...
متن کاملIntersection problem for Droms RAAGs
We solve the subgroup intersection problem (SIP) for any RAAG G of Droms type (i.e., with defining graph not containing induced squares or paths of length 3): there is an algorithm which, given finite sets of generators for two subgroups H,K 6 G, decides whether H ∩ K is finitely generated or not, and, in the affirmative case, it computes a set of generators for H ∩ K. Taking advantage of the r...
متن کاملThe conjugacy problem in right - angled Artin groups and their subgroups
We prove that the conjugacy problem in right-angled Artin groups (RAAGs), as well as in a large and natural class of subgroups of RAAGs, can be solved in linear-time. This class of subgroups contains, for instance, all graph braid groups (i.e. fundamental groups of configuration spaces of points in graphs), many hyperbolic groups, and it coincides with the class of fundamental groups of “specia...
متن کاملPushing fillings in right-angled Artin groups
We define a family of quasi-isometry invariants of groups called higher divergence functions, which measure isoperimetric properties “at infinity.” We give sharp upper and lower bounds on the divergence functions for right-angled Artin groups, using different pushing maps on the associated cube complexes. In the process, we define a class of RAAGs we call orthoplex groups, which have the proper...
متن کاملThe conjugacy problem in subgroups of right-angled Artin groups
We prove that the conjugacy problem in a large and natural class of subgroups of right-angled Artin groups (RAAGs), can be solved in linear-time. This class of subgroups has been previously studied by Crisp and Wiest, and independently by Haglund and Wise, as fundamental groups of compact special cube complexes.
متن کامل