http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ON THE CHARACTER RINGS OF TWIST KNOTS
Nagasato, Fumikazu Korean Mathematical Society 2011 대한수학회보 Vol.48 No.3
The Kauffman bracket skein module $K_t$(M) of a 3-manifold M becomes an algebra for t = -1. We prove that this algebra has no non-trivial nilpotent elements for M being the exterior of the twist knot in 3-sphere and, therefore, it is isomorphic to the $SL_2(\mathbb{C})$-character ring of the fundamental group of M. Our proof is based on some properties of Chebyshev polynomials.
On a Background of the Existence of Multi-variable Link Invariants
Nagasato, Fumikazu,Hamai, Kanau Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.2
We present a quantum theorical background of the existence of multi-variable link invariants, for example the Kauffman polynomial, by observing the quantum (sl(2,$\mathbb{C}$), ad)-invariant from the Kontsevich invariant point of view. The background implies that the Kauffman polynomial can be studied by using the sl(N,$\mathbb{C}$)-skein theory similar to the Jones polynomial and the HOMFLY polynomial.
On the character rings of twist knots
Fumikazu Nagasato 대한수학회 2011 대한수학회보 Vol.48 No.3
The Kauffman bracket skein module K_t(M) of a 3-manifold M becomes an algebra for t=-1. We prove that this algebra has no non-trivial nilpotent elements for M being the exterior of the twist knot in 3-sphere and, therefore, it is isomorphic to the SL_2(C)-character ring of the fundamental group of M. Our proof is based on some properties of Chebyshev polynomials. The Kauffman bracket skein module K_t(M) of a 3-manifold M becomes an algebra for t=-1. We prove that this algebra has no non-trivial nilpotent elements for M being the exterior of the twist knot in 3-sphere and, therefore, it is isomorphic to the SL_2(C)-character ring of the fundamental group of M. Our proof is based on some properties of Chebyshev polynomials.
Intercellular transport across pit-connections in the filamentous red alga Griffithsia monilis
Kim, Gwang Hoon,Nagasato, Chikako,Kwak, Minseok,Lee, Ji Woong,Hong, Chan Young,Klochkova, Tatyana A.,Motomura, Taizo The Korean Society of Phycology 2022 ALGAE Vol.37 No.1
Intercellular nutrient and signal transduction are essential to sustaining multicellular organisms and maximizing the benefits of multicellularity. It has long been believed that red algal intercellular transport of macromolecules is prevented by the protein-rich pit plug within pit-connections, the only physical connection between cells. Fluorescein isothiocyanate-dextran and recombinant green fluorescence protein (rGFP) of various molecular sizes were injected into vegetative cells of Griffithsia monilis using a micromanipulator, and intercellular transport of the fluorescent probes was examined. Pit-connections were found to provide intercellular transport of tracers at rates comparable to plasmodesmata in other organisms. The time necessary for the transport to an adjacent cell was dependent on the molecular size and the direction of the transport. Fluorescent dextran of 3 kDa was transported to adjacent cells in 1-2 h after injection and migrated to all cells of the filament within 24 h, but fluorescent dextran of 10-20 kDa took 24 h to transfer to neighboring cells. The migration occurred faster towards adjacent reproductive cells and to apical cells than basally. Fluorescent tracers above 40 kDa and rGFP was not transported to neighboring cells, but accumulated near the pit plug. Our results suggest that pit-connections are conduit for macromolecules between neighboring cells and that these size-specific conduits allow intercellular communication between the vegetative cells of red algae.
Klochkova, Tatyana A.,Kwak, Min Seok,Han, Jong Won,Motomura, Taizo,Nagasato, Chikako,Kim, Gwang Hoon The Korean Society of Phycology 2013 ALGAE Vol.28 No.2
A new cold-adapted Arctic strain of Haematococcus pluvialis from Blomstrandhalv${\o}$ya Island (Svalbard) is described. This strain is predominantly always in non-motile palmelloid stage. Transmission electron microscopy showed the presence of very thick cell wall and abundant lipid vesicles in the palmelloids, including red and green cells. The external morphology of the non-motile palmelloid and motile bi-flagellated cells of our strain is similar to H. pluvialis; however it differs from H. pluvialis in physiology. Our strain is adapted to live and produce astaxanthin in the low temperature ($4-10^{\circ}C$), whilst the usual growth temperature for H. pluvialis is between $20-27^{\circ}C$. Phylogenetic analysis based on 18S rRNA gene data showed that our strain nested within the Haematococcus group, forming a sister relationship to H. lacustris and H. pluvialis, which are considered synonymous. Therefore, we identified our Arctic strain as H. pluvialis.
Tatyana A. Klochkova,곽민석,한종원,Taizo Motomura,Chikako Nagasato,김광훈 한국조류학회I 2013 ALGAE Vol.28 No.2
A new cold-adapted Arctic strain of Haematococcus pluvialis from Blomstrandhalvøya Island (Svalbard) is described. This strain is predominantly always in non-motile palmelloid stage. Transmission electron microscopy showed the presence of very thick cell wall and abundant lipid vesicles in the palmelloids, including red and green cells. The external morphology of the non-motile palmelloid and motile bi-flagellated cells of our strain is similar to H. pluvialis; however it differs from H. pluvialis in physiology. Our strain is adapted to live and produce astaxanthin in the low temperature (4- 10°C), whilst the usual growth temperature for H. pluvialis is between 20-27°C. Phylogenetic analysis based on 18S rRNA gene data showed that our strain nested within the Haematococcus group, forming a sister relationship to H. lacustris and H. pluvialis, which are considered synonymous. Therefore, we identified our Arctic strain as H. pluvialis.