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Module structure of the homology of right-angled Artin kernels

Autor: Bartolo, E. Artal, Cogolludo-Agustín, J. I., de Medrano, S. López, Matei, D.

Publikováno v: Algebr. Geom. Topol. 22 (2022) 2775-2803

In this paper, we study the module structure of the homology of Artin kernels, i.e., kernels of non-resonant characters from right-angled Artin groups onto the integer numbers, the module structure being with respect to the ring $\mathbb{K}[t^{\pm 1}

Externí odkaz: http://arxiv.org/abs/2002.00279

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Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links

Autor: Bartolo, E. Artal, Cogolludo-Agustín, J. I., Matei, D.

The present paper studies the structure of characteristic varieties of fundamental groups of graph manifolds. As a consequence, a simple proof of Papadima's question is provided on the characterization of algebraic links that have quasi-projective fu

Externí odkaz: http://arxiv.org/abs/1904.00729

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Optical clock intercomparison with $6\times 10^{-19}$ precision in one hour

Autor: Oelker, E., Hutson, R. B., Kennedy, C. J., Sonderhouse, L., Bothwell, T., Goban, A., Kedar, D., Sanner, C., Robinson, J. M., Marti, G. E., Matei, D. G., Legero, T., Giunta, M., Holzwarth, R., Riehle, F., Sterr, U., Ye, J.

Publikováno v: Nature Photonics 13, 714-719 (2019)

Improvements in atom-light coherence are foundational to progress in quantum information science, quantum optics, and precision metrology. Optical atomic clocks require local oscillators with exceptional optical coherence due to the challenge of perf

Externí odkaz: http://arxiv.org/abs/1902.02741

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An ultrastable silicon cavity in a continuously operating closed-cycle cryostat at 4 K

Autor: Zhang, W., Robinson, J. M., Sonderhouse, L., Oelker, E., Benko, C., Hall, J. L., Legero, T., Matei, D. G., Riehle, F., Sterr, U., Ye, J.

Publikováno v: Phys. Rev. Lett. 119, 243601 (2017)

We report on a laser locked to a silicon cavity operating continuously at 4 K with $1 \times 10^{-16}$ instability and a median linewidth of 17 mHz at 1542 nm. This is a ten-fold improvement in short-term instability, and a $10^4$ improvement in line

Externí odkaz: http://arxiv.org/abs/1708.05161

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1.5 $\mu$m lasers with sub 10 mHz linewidth

Autor: Matei, D. G., Legero, T., Häfner, S., Grebing, C., Weyrich, R., Zhang, W., Sonderhouse, L., Robinson, J. M., Ye, J., Riehle, F., Sterr, U.

Publikováno v: Phys. Rev. Lett. 118, 263202 (2017)

We report on two ultrastable lasers each stabilized to independent silicon Fabry-P\'erot cavities operated at 124 K. The fractional frequency instability of each laser is completely determined by the fundamental thermal Brownian noise of the mirror c

Externí odkaz: http://arxiv.org/abs/1702.04669

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