TY - JOUR
AU - Salecker, Iris
AU - Häusser, Michael
AU - de Bono, Mario
ID - 6151
IS - 6
JF - EMBO reports
SN - 1469-221X
TI - On the axonal road to circuit function and behaviour: Workshop on the assembly and function of neuronal circuits
VL - 7
ER -
TY - JOUR
AU - Rogers, Candida
AU - Persson, Annelie
AU - Cheung, Benny
AU - de Bono, Mario
ID - 6152
IS - 7
JF - Current Biology
SN - 0960-9822
TI - Behavioral motifs and neural pathways coordinating O2 responses and aggregation in C. elegans
VL - 16
ER -
TY - JOUR
AB - This note proves combinatorially that the intersection pairing on the middle-dimensional compactly supported cohomology of a toric hyperkähler variety is always definite, providing a large number of non-trivial L 2 harmonic forms for toric hyperkähler metrics on these varieties. This is motivated by a result of Hitchin about the definiteness of the pairing of L 2 harmonic forms on complete hyperkähler manifolds of linear growth.
AU - Tamas Hausel
AU - Swartz, Edward
ID - 1461
IS - 8
JF - Proceedings of the American Mathematical Society
TI - Intersection forms of toric hyperkähler varieties
VL - 134
ER -
TY - JOUR
AB - A Fourier transform technique is introduced for counting the number of solutions of holomorphic moment map equations over a finite field. This technique in turn gives information on Betti numbers of holomorphic symplectic quotients. As a consequence, simple unified proofs are obtained for formulas of Poincaré polynomials of toric hyperkähler varieties (recovering results of Bielawski-Dancer and Hausel-Sturmfels), Poincaré polynomials of Hubert schemes of points and twisted Atiyah-Drinfeld-Hitchin-Manin (ADHM) spaces of instantons on ℂ2 (recovering results of Nakajima-Yoshioka), and Poincaré polynomials of all Nakajima quiver varieties. As an application, a proof of a conjecture of Kac on the number of absolutely indecomposable representations of a quiver is announced.
AU - Tamas Hausel
ID - 1462
IS - 16
JF - PNAS
TI - Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform
VL - 103
ER -
TY - JOUR
AB - Systems of three interacting particles are notorious for their complex physical behaviour. A landmark theoretical result in few-body quantum physics is Efimov\'s prediction1,2 of a universal set of bound trimer states appearing for three identical bosons with a resonant two-body interaction. Counterintuitively, these states even exist in the absence of a corresponding two-body bound state. Since the formulation of Efimov\'s problem in the context of nuclear physics 35 years ago, it has attracted great interest in many areas of physics3-8. However, the observation of Efimov quantum states has remained an elusive goal3,5. Here we report the observation of an Efimov resonance in an ultracold gas of caesium atoms. The resonance occurs in the range of large negative two-body scattering lengths, arising from the coupling of three free atoms to an Efimov trimer. Experimentally, we observe its signature as a giant three-body recombination loss9,10 when the strength of the two-body interaction is varied. We also detect a minimum 9,11,12 in the recombination loss for positive scattering lengths, indicating destructive interference of decay pathways. Our results confirm central theoretical predictions of Efimov physics and represent a starting point with which to explore the universal properties of resonantly interacting few-body systems7. While Feshbach resonances13,14 have provided the key to control quantum-mechanical interactions on the two-body level, Efimov resonances connect ultracold matter15 to the world of few-body quantum phenomena.
AU - Kraemer, Tobias
AU - Mark, Michael
AU - Waldburger, Philipp
AU - Danzl, Johann G
AU - Chin, Cheng
AU - Engeser, Bastian
AU - Lange, Adam
AU - Pilch, Karl
AU - Jaakkola, Antti
AU - Nägerl, Hanns
AU - Grimm, Rudolf
ID - 1033
IS - 7082
JF - Nature
TI - Evidence for Efimov quantum states in an ultracold gas of caesium atoms
VL - 440
ER -