Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Matthew Stoffregen"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 12 (2024)
We consider manifold-knot pairs $(Y,K)$ , where Y is a homology 3-sphere that bounds a homology 4-ball. We show that the minimum genus of a PL surface $\Sigma $ in a homology ball X, such that $\partial (X, \Sigma ) = (Y, K)$ can be arbitrari
Externí odkaz:
https://doaj.org/article/e95b271c6aa9438a948689709fb0ee4c
Publikováno v:
PLoS Computational Biology, Vol 7, Iss 9, p e1002158 (2011)
We present a model for flicker phosphenes, the spontaneous appearance of geometric patterns in the visual field when a subject is exposed to diffuse flickering light. We suggest that the phenomenon results from interaction of cortical lateral inhibit
Externí odkaz:
https://doaj.org/article/1899fe3c437449569da63f4b938a34d9
Publikováno v:
Canadian Journal of Mathematics. 71:683-715
We compute cup-product pairings in the integral cohomology ring of the moduli space of rank two stable bundles with odd determinant over a Riemann surface using methods of Zagier. The resulting formula is related to a generating function for certain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36fa9f1575a0a02766f02a1830396912
https://doi.org/10.4153/cjm-2017-050-7
https://doi.org/10.4153/cjm-2017-050-7
Publikováno v:
Algebr. Geom. Topol. 17, no. 5 (2017), 2841-2861
Given a rank 2 hermitian bundle over a 3-manifold that is non-trivial admissible in the sense of Floer, one defines its Casson invariant as half the signed count of its projectively flat connections, suitably perturbed. We show that the 2-divisibilit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef7a9bf107d217efdad6135cabf70a5b
https://doi.org/10.2140/agt.2017.17.2841
https://doi.org/10.2140/agt.2017.17.2841
Autor:
Matthew Stoffregen
Publikováno v:
Proceedings of the London Mathematical Society. 115:1072-1117
We give inequalities for the Manolescu invariants α,β,γ under the connected sum operation. We compute the Manolescu invariants of connected sums of some Seifert fiber spaces. Using these same invariants, we provide a proof of Furuta's Theorem, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58feb766184589da3bbaf44759204d96
https://doi.org/10.1112/plms.12060
https://doi.org/10.1112/plms.12060
We define an infinite family of linearly independent, integer-valued smooth concordance homomorphisms. Our homomorphisms are explicitly computable and rely on local equivalence classes of knot Floer complexes over the ring $\mathbb{F}[U, V]/(UV=0)$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e3ef48ade8be72cda86077b2bcf7be2
http://arxiv.org/abs/1902.03333
http://arxiv.org/abs/1902.03333
For each link L in S^3 and every quantum grading j, we construct a stable homotopy type X^j_o(L) whose cohomology recovers Ozsvath-Rasmussen-Szabo's odd Khovanov homology, H_i(X^j_o(L)) = Kh^{i,j}_o(L), following a construction of Lawson-Lipshitz-Sar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc8b7c95328e25e12583813aee968388
Autor:
Matthew Stoffregen
Publikováno v:
Michigan Mathematical Journal. 66
In this remark, we show how the monopole Froyshov invariant, as well as the analogues of the Involutive Heegaard Floer correction terms d,d¯, are related to the Pin(2)-equivariant Floer homology SWFH∗G. We show that the only interesting correction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12f4ffc217d042b9e155a42a7c07cea9
https://doi.org/10.1307/mmj/1508810818
https://doi.org/10.1307/mmj/1508810818
Autor:
Matthew Stoffregen, Irving Dai
Publikováno v:
Geom. Topol. 23, no. 2 (2019), 865-924
We establish a structural understanding of the involutive Heegaard Floer homology for all linear combinations of almost-rational (AR) plumbed three-manifolds. We use this to show that the Neumann-Siebenmann invariant is a homology cobordism invariant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd98e06058e64cf09c75244faae96a32
Autor:
Cornelia Mihaila, Thomas Garrity, Matthew Stoffregen, Nicholas Neumann-Chun, Krishna Dasaratha, Sarah Peluse, Chansoo Lee, Laure Flapan
Publikováno v:
Monatshefte für Mathematik. 174:549-566
We construct a countable family of multi-dimensional continued fraction algorithms, built out of five specific multidimensional continued fractions, and find a wide class of cubic irrational real numbers a so that either (a, a^2) or (a, a-a^2) is pur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da210577937d27f16d63b3adf45f2609
https://doi.org/10.1007/s00605-014-0643-1
https://doi.org/10.1007/s00605-014-0643-1